Atkin-Lehner |
2+ 3- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010i |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31948800 |
Modular degree for the optimal curve |
Δ |
2.1391445403056E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-880313895,-10052982846675] |
[a1,a2,a3,a4,a6] |
Generators |
[115589487715162706:1830619928850506149:3362191238141] |
Generators of the group modulo torsion |
j |
103492494442226940466881867121/29343546506250000 |
j-invariant |
L |
3.0711995442981 |
L(r)(E,1)/r! |
Ω |
0.027716613479621 |
Real period |
R |
27.701792633527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35670k1 |
Quadratic twists by: -3 |