Atkin-Lehner |
11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
116281d |
Isogeny class |
Conductor |
116281 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-17294935994776451 = -1 · 117 · 316 |
Discriminant |
Eigenvalues |
2 1 1 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-909356180,-10555082202197] |
[a1,a2,a3,a4,a6] |
Generators |
[2108292475232161939921190706493247733496497813421266802208435910900184459396568144149107181065358219131085542256926008800927855404782281118883463251002403924743544576081613619723639045493215803225035589484202319659500144657974523490:-17890475749073572989218424009693647885224962139338194795573704397660380994450350947383230595022213480229262852388866303497461125333868973285575980606691696175905992082404623369689943720561674016266785872654256813821712047356195369212543:29278493502803083389139281787921952479031773446202939672110033564971492591639376063478742701597981826498894163850172217589292801526749793193352973868003447529330408305746288690397777560092865336173092907916443353052139201000] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
19.691804940419 |
L(r)(E,1)/r! |
Ω |
0.013746307456497 |
Real period |
R |
358.12899214458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10571a3 121d3 |
Quadratic twists by: -11 -31 |