Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520y |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
51701350400 = 218 · 52 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10412,-408784] |
[a1,a2,a3,a4,a6] |
Generators |
[280:4316:1] |
Generators of the group modulo torsion |
j |
476196576129/197225 |
j-invariant |
L |
4.8516863809482 |
L(r)(E,1)/r! |
Ω |
0.47263601277944 |
Real period |
R |
5.1325822088341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51520ce1 805b1 |
Quadratic twists by: -4 8 |