Atkin-Lehner |
2- 3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768p |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-2423594950636621824 = -1 · 212 · 36 · 312 · 615 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 3 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,260136,54879444] |
[a1,a2,a3,a4,a6] |
j |
475295244086079143/591697985995269 |
j-invariant |
L |
4.1512999788032 |
L(r)(E,1)/r! |
Ω |
0.172970831842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5673a1 |
Quadratic twists by: -4 |