Atkin-Lehner |
5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
79895g |
Isogeny class |
Conductor |
79895 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-57923875 = -1 · 53 · 19 · 293 |
Discriminant |
Eigenvalues |
2 -2 5- -2 2 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10,369] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:141:8] |
Generators of the group modulo torsion |
j |
4096/2375 |
j-invariant |
L |
9.8470178518818 |
L(r)(E,1)/r! |
Ω |
1.5422611470615 |
Real period |
R |
1.0641321315486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79895l1 |
Quadratic twists by: 29 |