Atkin-Lehner |
2+ 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248h |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-3082712776704 = -1 · 230 · 32 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2463,69345] |
[a1,a2,a3,a4,a6] |
j |
6300872423/11759616 |
j-invariant |
L |
1.1003785845812 |
L(r)(E,1)/r! |
Ω |
0.55018929123317 |
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 |
61248cl1 1914e1 |
Quadratic twists by: -4 8 |