Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248bi |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
5303680892928 = 218 · 37 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31457,-2134143] |
[a1,a2,a3,a4,a6] |
j |
13132563308857/20231937 |
j-invariant |
L |
2.8681327501914 |
L(r)(E,1)/r! |
Ω |
0.35851659417458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248w1 15312ba1 |
Quadratic twists by: -4 8 |