Atkin-Lehner |
2- 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568bh |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1848960 |
Modular degree for the optimal curve |
Δ |
845114664289882112 = 212 · 79 · 17 · 673 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -3 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1181456,-492298704] |
[a1,a2,a3,a4,a6] |
Generators |
[1385:22981:1] |
Generators of the group modulo torsion |
j |
44526280793221804032/206326822336397 |
j-invariant |
L |
3.5665148786464 |
L(r)(E,1)/r! |
Ω |
0.14484925603516 |
Real period |
R |
0.91193529531775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995892737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973f1 |
Quadratic twists by: -4 |