Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248m |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14477499380736 = -1 · 210 · 37 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1149,182450] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4590:1] |
Generators of the group modulo torsion |
j |
224727548/19393941 |
j-invariant |
L |
5.0013506496469 |
L(r)(E,1)/r! |
Ω |
0.53787332484742 |
Real period |
R |
4.649190077483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15624m4 124992fa3 10416b4 |
Quadratic twists by: -4 8 -3 |