Atkin-Lehner |
2+ 3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57720l |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
249350400 = 28 · 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3996,95904] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:432:1] [39:-30:1] |
Generators of the group modulo torsion |
j |
27572037674704/974025 |
j-invariant |
L |
10.561702256749 |
L(r)(E,1)/r! |
Ω |
1.6397859083156 |
Real period |
R |
1.6102257927677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440f1 |
Quadratic twists by: -4 |