Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152x |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-63799296 = -1 · 215 · 3 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 0 11+ -2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1352,-19596] |
[a1,a2,a3,a4,a6] |
Generators |
[1050:11541:8] |
Generators of the group modulo torsion |
j |
-66775173193/15576 |
j-invariant |
L |
5.0507382609258 |
L(r)(E,1)/r! |
Ω |
0.39363394564467 |
Real period |
R |
6.4155268070873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3894c1 124608cr1 93456by1 |
Quadratic twists by: -4 8 -3 |