Atkin-Lehner |
2- 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
62624c |
Isogeny class |
Conductor |
62624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-2379712 = -1 · 26 · 192 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 0 4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,-56] |
[a1,a2,a3,a4,a6] |
Generators |
[52:380:1] |
Generators of the group modulo torsion |
j |
17576000/37183 |
j-invariant |
L |
4.9161702641755 |
L(r)(E,1)/r! |
Ω |
1.3435021973936 |
Real period |
R |
3.659220114264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62624a1 125248d1 |
Quadratic twists by: -4 8 |