Atkin-Lehner |
2- 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230v |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
556800 |
Modular degree for the optimal curve |
Δ |
3517357591132031250 = 2 · 32 · 58 · 298 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1112240,441915455] |
[a1,a2,a3,a4,a6] |
j |
304183240801/7031250 |
j-invariant |
L |
3.9953915961167 |
L(r)(E,1)/r! |
Ω |
0.24971197475731 |
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 |
75690i1 126150bg1 25230j1 |
Quadratic twists by: -3 5 29 |