Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bb |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
656208 = 24 · 33 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24,23] |
[a1,a2,a3,a4,a6] |
Generators |
[29:154:1] |
Generators of the group modulo torsion |
j |
3538944/1519 |
j-invariant |
L |
6.3580818345875 |
L(r)(E,1)/r! |
Ω |
2.5949163703866 |
Real period |
R |
2.4502068379337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812c1 124992dq1 31248bc1 |
Quadratic twists by: -4 8 -3 |