Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600h |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
29645000000 = 26 · 57 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8258,-285988] |
[a1,a2,a3,a4,a6] |
j |
62287505344/29645 |
j-invariant |
L |
4.0066263644884 |
L(r)(E,1)/r! |
Ω |
0.50082829635094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600l1 123200ef2 12320m1 |
Quadratic twists by: -4 8 5 |