Atkin-Lehner |
2- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280l |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-5736645577932800 = -1 · 221 · 52 · 17 · 235 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 0 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1632176,-802063424] |
[a1,a2,a3,a4,a6] |
j |
-117399160931444643889/1400548236800 |
j-invariant |
L |
2.137112858692 |
L(r)(E,1)/r! |
Ω |
0.066784776834235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3910i1 125120cm1 |
Quadratic twists by: -4 8 |