Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77064h |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
2336256 |
Modular degree for the optimal curve |
Δ |
-5.2286315890671E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-694984,413003696] |
[a1,a2,a3,a4,a6] |
Generators |
[2315:105906:1] |
Generators of the group modulo torsion |
j |
-131487746/185193 |
j-invariant |
L |
8.3949231377661 |
L(r)(E,1)/r! |
Ω |
0.1798156878755 |
Real period |
R |
5.1873629541477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064t1 |
Quadratic twists by: 13 |