Atkin-Lehner |
2+ 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30744d |
Isogeny class |
Conductor |
30744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2823959376 = 24 · 310 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8994,-328295] |
[a1,a2,a3,a4,a6] |
j |
6898185213952/242109 |
j-invariant |
L |
1.9609758253561 |
L(r)(E,1)/r! |
Ω |
0.49024395633901 |
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 |
61488e1 10248g1 |
Quadratic twists by: -4 -3 |