Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bm |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
31945981392 = 24 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28380,1840187] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7290:1] |
Generators of the group modulo torsion |
j |
216727177216000/2738853 |
j-invariant |
L |
6.6512149641374 |
L(r)(E,1)/r! |
Ω |
1.0646784475048 |
Real period |
R |
3.1235792270075 |
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 |
7956g1 127296cm1 10608r1 |
Quadratic twists by: -4 8 -3 |