Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bu |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
486375293928367872 = 28 · 324 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263847,-39940990] |
[a1,a2,a3,a4,a6] |
j |
10884605672501584/2606177629503 |
j-invariant |
L |
1.7144919897382 |
L(r)(E,1)/r! |
Ω |
0.21431149871752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812i2 124992fj2 10416w2 |
Quadratic twists by: -4 8 -3 |