Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ct |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-5296410918750000 = -1 · 24 · 3 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10617,-3472512] |
[a1,a2,a3,a4,a6] |
Generators |
[965472274032:-21932247211300:1902014919] |
Generators of the group modulo torsion |
j |
4499456/180075 |
j-invariant |
L |
7.8630585525554 |
L(r)(E,1)/r! |
Ω |
0.20643540808212 |
Real period |
R |
19.044839801594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999418 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cp1 11760j1 8400e1 |
Quadratic twists by: -4 5 -7 |