Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800ia |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
2509743397471027200 = 215 · 312 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1392008,627060468] |
[a1,a2,a3,a4,a6] |
Generators |
[604:2646:1] |
Generators of the group modulo torsion |
j |
505318200625/4251528 |
j-invariant |
L |
7.5701207439071 |
L(r)(E,1)/r! |
Ω |
0.25849319919766 |
Real period |
R |
0.40674403121763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7350c1 58800gr1 58800gh1 |
Quadratic twists by: -4 5 -7 |