Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680q |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-280722790154240 = -1 · 220 · 5 · 72 · 1033 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 2 0 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28843,2050522] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-1442:1] [-43:1792:1] |
Generators of the group modulo torsion |
j |
-647865799013889/68535837440 |
j-invariant |
L |
6.3135640306027 |
L(r)(E,1)/r! |
Ω |
0.53484376478657 |
Real period |
R |
0.4918542297055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999959 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210d1 |
Quadratic twists by: -4 |