Atkin-Lehner |
3+ 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
58575i |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-547192205419921875 = -1 · 315 · 511 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,183992,18482793] |
[a1,a2,a3,a4,a6] |
Generators |
[150020175539859338:17112811349114242273:3296905214957704] |
Generators of the group modulo torsion |
j |
44085741154463744/35020301146875 |
j-invariant |
L |
10.692437281838 |
L(r)(E,1)/r! |
Ω |
0.18796522969248 |
Real period |
R |
28.442593609817 |
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 |
11715i1 |
Quadratic twists by: 5 |