Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248r |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
316365751296 = 210 · 38 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,35530] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:270:1] |
Generators of the group modulo torsion |
j |
1994709028/423801 |
j-invariant |
L |
7.085954025539 |
L(r)(E,1)/r! |
Ω |
0.91345673950237 |
Real period |
R |
1.9393239217325 |
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 |
15624j2 124992fz2 10416k2 |
Quadratic twists by: -4 8 -3 |