Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25578be |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
92 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-265053792368590848 = -1 · 223 · 33 · 79 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 1 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4685120,-3902182301] |
[a1,a2,a3,a4,a6] |
j |
-3580418379458257875/83441483776 |
j-invariant |
L |
4.720376141335 |
L(r)(E,1)/r! |
Ω |
0.051308436318861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25578a1 3654n1 |
Quadratic twists by: -3 -7 |