Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bv |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2530926010368 = 213 · 38 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14475,-665926] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:56:1] [-65:18:1] |
Generators of the group modulo torsion |
j |
112329015625/847602 |
j-invariant |
L |
8.2977091760147 |
L(r)(E,1)/r! |
Ω |
0.43545419738189 |
Real period |
R |
2.3819121580134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906p2 124992fq2 10416x2 |
Quadratic twists by: -4 8 -3 |