Atkin-Lehner |
23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31211c |
Isogeny class |
Conductor |
31211 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3792 |
Modular degree for the optimal curve |
Δ |
-31211 = -1 · 232 · 59 |
Discriminant |
Eigenvalues |
-2 1 -3 -1 0 4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8,0] |
[a1,a2,a3,a4,a6] |
Generators |
[0:0:1] |
Generators of the group modulo torsion |
j |
94208/59 |
j-invariant |
L |
2.2242382505484 |
L(r)(E,1)/r! |
Ω |
2.1343241974377 |
Real period |
R |
1.0421276454714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31211b1 |
Quadratic twists by: -23 |