Atkin-Lehner |
2- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680x |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
511342796800 = 213 · 52 · 11 · 613 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3176,-58640] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2440:1] [-22:10:1] |
Generators of the group modulo torsion |
j |
865250742889/124839550 |
j-invariant |
L |
6.9649614229018 |
L(r)(E,1)/r! |
Ω |
0.64206287424444 |
Real period |
R |
0.45199113294914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710d1 |
Quadratic twists by: -4 |