Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
102672cf |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
102192316416 = 216 · 37 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,-35534] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] |
Generators of the group modulo torsion |
j |
374805361/34224 |
j-invariant |
L |
4.6626816447512 |
L(r)(E,1)/r! |
Ω |
0.70415076227732 |
Real period |
R |
1.6554273197097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12834b1 34224bf1 |
Quadratic twists by: -4 -3 |