Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25230h |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
649600 |
Modular degree for the optimal curve |
Δ |
1632053922285262500 = 22 · 32 · 55 · 299 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1636604,-803655898] |
[a1,a2,a3,a4,a6] |
Generators |
[276224499:12003483911:103823] |
Generators of the group modulo torsion |
j |
33417362861/112500 |
j-invariant |
L |
3.9879886823988 |
L(r)(E,1)/r! |
Ω |
0.13350624940407 |
Real period |
R |
14.935588035017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75690br1 126150cf1 25230q1 |
Quadratic twists by: -3 5 29 |