Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cr |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-632931468750000 = -1 · 24 · 310 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6883,-1232512] |
[a1,a2,a3,a4,a6] |
Generators |
[1028:32850:1] |
Generators of the group modulo torsion |
j |
-420616192/7381125 |
j-invariant |
L |
8.0227323673757 |
L(r)(E,1)/r! |
Ω |
0.22062421555378 |
Real period |
R |
3.636378874865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400d1 11760k1 58800q1 |
Quadratic twists by: -4 5 -7 |