Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304w |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
42205184 = 218 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236,1360] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
3.3816121261542 |
L(r)(E,1)/r! |
Ω |
2.0246034709684 |
Real period |
R |
1.6702589789282 |
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 |
10304h1 2576l1 92736dx1 72128bw1 |
Quadratic twists by: -4 8 -3 -7 |