Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7104z |
Isogeny class |
Conductor |
7104 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
228480 |
Modular degree for the optimal curve |
Δ |
1257193835712 = 26 · 315 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -4 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19131888,32203188450] |
[a1,a2,a3,a4,a6] |
j |
12100888248456939565096000/19643653683 |
j-invariant |
L |
2.9343604459654 |
L(r)(E,1)/r! |
Ω |
0.39124805946205 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7104s1 3552b2 21312ce1 |
Quadratic twists by: -4 8 -3 |