Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248ck |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-888999100416 = -1 · 214 · 36 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -6 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4611,128770] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-112:1] |
Generators of the group modulo torsion |
j |
-3630961153/297724 |
j-invariant |
L |
4.4240391552659 |
L(r)(E,1)/r! |
Ω |
0.86884952540029 |
Real period |
R |
0.63647948032599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906c1 124992gv1 3472g1 |
Quadratic twists by: -4 8 -3 |