Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800hy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11801395200 = -1 · 216 · 3 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,-6252] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:5536:27] |
Generators of the group modulo torsion |
j |
-30625/48 |
j-invariant |
L |
8.257966021522 |
L(r)(E,1)/r! |
Ω |
0.50335464483243 |
Real period |
R |
4.1014650933752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350b1 58800gp1 58800fx1 |
Quadratic twists by: -4 5 -7 |