Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008b |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
62016 = 26 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-322,-2120] |
[a1,a2,a3,a4,a6] |
j |
57870788032/969 |
j-invariant |
L |
2.25347986421 |
L(r)(E,1)/r! |
Ω |
1.1267399321056 |
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 |
31008t1 62016y1 93024bk1 |
Quadratic twists by: -4 8 -3 |