Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248l |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
1457906688 = 210 · 38 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,-5038] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:18:1] |
Generators of the group modulo torsion |
j |
28756228/1953 |
j-invariant |
L |
6.3578058303627 |
L(r)(E,1)/r! |
Ω |
0.97741961287003 |
Real period |
R |
1.6261710289643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15624y1 124992fd1 10416c1 |
Quadratic twists by: -4 8 -3 |