Atkin-Lehner |
2- 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150v |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1418560 |
Modular degree for the optimal curve |
Δ |
-176029696000000000 = -1 · 226 · 59 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- -2 -6 2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-900388,-329840219] |
[a1,a2,a3,a4,a6] |
j |
-41331655231224749/90127204352 |
j-invariant |
L |
4.0291063546946 |
L(r)(E,1)/r! |
Ω |
0.077482814768349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150k1 |
Quadratic twists by: 5 |