Atkin-Lehner |
2+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54464c |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
320684032 = 214 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 1 0 -5 5 4 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-373,2515] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:61:1] [6:23:1] |
Generators of the group modulo torsion |
j |
351232000/19573 |
j-invariant |
L |
10.410460857397 |
L(r)(E,1)/r! |
Ω |
1.6915974718205 |
Real period |
R |
3.0771093687526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54464w1 3404a1 |
Quadratic twists by: -4 8 |