Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575v |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
493701160640625 = 33 · 56 · 79 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142738,-20788594] |
[a1,a2,a3,a4,a6] |
Generators |
[736:16170:1] |
Generators of the group modulo torsion |
j |
510082399/783 |
j-invariant |
L |
3.3707995448987 |
L(r)(E,1)/r! |
Ω |
0.24564316003945 |
Real period |
R |
6.8611711636093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4263f1 106575cg1 |
Quadratic twists by: 5 -7 |