Atkin-Lehner |
2- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
76532d |
Isogeny class |
Conductor |
76532 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159840 |
Modular degree for the optimal curve |
Δ |
-758003234672 = -1 · 24 · 197 · 53 |
Discriminant |
Eigenvalues |
2- -1 0 4 1 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21058,1183973] |
[a1,a2,a3,a4,a6] |
Generators |
[826:2527:8] |
Generators of the group modulo torsion |
j |
-1372000000/1007 |
j-invariant |
L |
6.3787305459934 |
L(r)(E,1)/r! |
Ω |
0.89093043958735 |
Real period |
R |
1.7899070069073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4028b1 |
Quadratic twists by: -19 |