Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
31152bg |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
3143790458648395776 = 234 · 34 · 11 · 593 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-654752,185002740] |
[a1,a2,a3,a4,a6] |
Generators |
[-380:19470:1] |
Generators of the group modulo torsion |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
8.0368672653287 |
L(r)(E,1)/r! |
Ω |
0.24511857024653 |
Real period |
R |
2.7323059942124 |
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 |
3894h1 124608ca1 93456bd1 |
Quadratic twists by: -4 8 -3 |