Atkin-Lehner |
2- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31808r |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-186522551713792 = -1 · 220 · 7 · 714 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2836,-654512] |
[a1,a2,a3,a4,a6] |
Generators |
[981058:20802432:2197] |
Generators of the group modulo torsion |
j |
9622822383/711527068 |
j-invariant |
L |
6.1956351213112 |
L(r)(E,1)/r! |
Ω |
0.27052175116976 |
Real period |
R |
5.7256349022957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31808g3 7952d4 |
Quadratic twists by: -4 8 |