Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
31600c |
Isogeny class |
Conductor |
31600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
4875781250000 = 24 · 511 · 792 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25383,1544488] |
[a1,a2,a3,a4,a6] |
Generators |
[268:3750:1] |
Generators of the group modulo torsion |
j |
7234852182016/19503125 |
j-invariant |
L |
2.9242015566583 |
L(r)(E,1)/r! |
Ω |
0.77197480983143 |
Real period |
R |
1.8939747252225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15800e1 126400bp1 6320b1 |
Quadratic twists by: -4 8 5 |