Atkin-Lehner |
5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21275b |
Isogeny class |
Conductor |
21275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
305828125 = 56 · 232 · 37 |
Discriminant |
Eigenvalues |
2 -1 5+ 3 1 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-708,7443] |
[a1,a2,a3,a4,a6] |
Generators |
[26:571:8] |
Generators of the group modulo torsion |
j |
2515456000/19573 |
j-invariant |
L |
8.8650012020602 |
L(r)(E,1)/r! |
Ω |
1.732596057226 |
Real period |
R |
1.2791500311177 |
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 |
851a1 |
Quadratic twists by: 5 |