Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
51660i |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
4021004531250000 = 24 · 37 · 510 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96528,11132777] |
[a1,a2,a3,a4,a6] |
Generators |
[232:1107:1] |
Generators of the group modulo torsion |
j |
8527782693830656/344736328125 |
j-invariant |
L |
5.0466025422225 |
L(r)(E,1)/r! |
Ω |
0.43583426803001 |
Real period |
R |
1.9298629901316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220f1 |
Quadratic twists by: -3 |