Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344gc |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
421573652517888 = 210 · 38 · 137 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32448,2021240] |
[a1,a2,a3,a4,a6] |
Generators |
[-170:1620:1] |
Generators of the group modulo torsion |
j |
1048576/117 |
j-invariant |
L |
7.9507917567127 |
L(r)(E,1)/r! |
Ω |
0.51385453526097 |
Real period |
R |
3.8682113319705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344ct1 24336cb1 32448cr1 7488bw1 |
Quadratic twists by: -4 8 -3 13 |