Atkin-Lehner |
2- 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31008t |
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] |
Generators |
[964:1935:64] |
Generators of the group modulo torsion |
j |
57870788032/969 |
j-invariant |
L |
8.0119112833192 |
L(r)(E,1)/r! |
Ω |
3.2108722783342 |
Real period |
R |
4.9904889318586 |
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 |
31008b1 62016l1 93024p1 |
Quadratic twists by: -4 8 -3 |