Atkin-Lehner |
5- 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79135r |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
442176 |
Modular degree for the optimal curve |
Δ |
2763951854453125 = 57 · 78 · 17 · 192 |
Discriminant |
Eigenvalues |
-2 -1 5- 7+ -2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-45390,2745756] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2327:1] |
Generators of the group modulo torsion |
j |
1794029203456/479453125 |
j-invariant |
L |
2.1510312570892 |
L(r)(E,1)/r! |
Ω |
0.42381285422732 |
Real period |
R |
0.12084350303095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135k1 |
Quadratic twists by: -7 |