Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
12482f |
Isogeny class |
Conductor |
12482 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
780 |
Modular degree for the optimal curve |
Δ |
12482 = 2 · 792 |
Discriminant |
Eigenvalues |
2- 0 0 3 -2 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:87:64] |
Generators of the group modulo torsion |
j |
266625/2 |
j-invariant |
L |
7.2123871640646 |
L(r)(E,1)/r! |
Ω |
2.1427755107265 |
Real period |
R |
3.3659089008438 |
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 |
99856e1 112338f1 12482e1 |
Quadratic twists by: -4 -3 -79 |