Atkin-Lehner |
5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675g |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-34476671796875 = -1 · 57 · 76 · 112 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32758,2310418] |
[a1,a2,a3,a4,a6] |
Generators |
[382:6737:1] [-157:1886:1] |
Generators of the group modulo torsion |
j |
-248810715099136/2206506995 |
j-invariant |
L |
4.5427392873985 |
L(r)(E,1)/r! |
Ω |
0.65704848681451 |
Real period |
R |
0.1440386877379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11935b1 |
Quadratic twists by: 5 |