Atkin-Lehner |
3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6279g |
Isogeny class |
Conductor |
6279 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
41760 |
Modular degree for the optimal curve |
Δ |
13945590200997 = 32 · 73 · 135 · 233 |
Discriminant |
Eigenvalues |
-2 3+ -4 7- -5 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9380,303122] |
[a1,a2,a3,a4,a6] |
Generators |
[2089993105:-40812293203:5177717] [-18:682:1] |
Generators of the group modulo torsion |
j |
91280608490377216/13945590200997 |
j-invariant |
L |
2.073873347291 |
L(r)(E,1)/r! |
Ω |
0.67547547952801 |
Real period |
R |
0.034113802633134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464br1 18837k1 43953x1 81627i1 |
Quadratic twists by: -4 -3 -7 13 |