Atkin-Lehner |
2+ 3- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398d |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
24686856 = 23 · 37 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2853,59373] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-15:1] |
Generators of the group modulo torsion |
j |
3523604223313/33864 |
j-invariant |
L |
5.0751791168385 |
L(r)(E,1)/r! |
Ω |
1.9192353930973 |
Real period |
R |
1.3221877668294 |
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 |
8466m1 |
Quadratic twists by: -3 |