Atkin-Lehner |
3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925cu |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
1374033562723828125 = 39 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-310333,-35417756] |
[a1,a2,a3,a4,a6] |
Generators |
[758:-12863:1] [-418:4630:1] |
Generators of the group modulo torsion |
j |
71921827840/29898477 |
j-invariant |
L |
11.237483562484 |
L(r)(E,1)/r! |
Ω |
0.20985571316673 |
Real period |
R |
0.49582054350458 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925j1 16275n1 |
Quadratic twists by: 5 -7 |