Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fb |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-10809580833792 = -1 · 210 · 37 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4056,123032] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:252:1] |
Generators of the group modulo torsion |
j |
2048/3 |
j-invariant |
L |
9.0422125882155 |
L(r)(E,1)/r! |
Ω |
0.48835462828746 |
Real period |
R |
2.31445860415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344bp1 24336i1 32448ci1 576i1 |
Quadratic twists by: -4 8 -3 13 |