Atkin-Lehner |
2- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25228c |
Isogeny class |
Conductor |
25228 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
54432 |
Modular degree for the optimal curve |
Δ |
9307801576192 = 28 · 79 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 1 -4 7+ -3 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7420,-199916] |
[a1,a2,a3,a4,a6] |
Generators |
[639:16012:1] |
Generators of the group modulo torsion |
j |
176503772249296/36358599907 |
j-invariant |
L |
3.4090569943072 |
L(r)(E,1)/r! |
Ω |
0.52184516391344 |
Real period |
R |
6.5326982600391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912z1 |
Quadratic twists by: -4 |