Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
90972m |
Isogeny class |
Conductor |
90972 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
206324496 = 24 · 36 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-741,7733] |
[a1,a2,a3,a4,a6] |
Generators |
[17:7:1] |
Generators of the group modulo torsion |
j |
10686208/49 |
j-invariant |
L |
8.9387010981887 |
L(r)(E,1)/r! |
Ω |
1.7902322663758 |
Real period |
R |
0.83217331227103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10108c1 90972g1 |
Quadratic twists by: -3 -19 |