Atkin-Lehner |
3- 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
79059m |
Isogeny class |
Conductor |
79059 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
86184 |
Modular degree for the optimal curve |
Δ |
-10303047939 = -1 · 3 · 196 · 73 |
Discriminant |
Eigenvalues |
2 3- -1 2 -4 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2286,-43123] |
[a1,a2,a3,a4,a6] |
Generators |
[8663988582347355180860046610:135140386715374099604213773859:34366745622993912948921704] |
Generators of the group modulo torsion |
j |
-28094464/219 |
j-invariant |
L |
15.470158046712 |
L(r)(E,1)/r! |
Ω |
0.34505040696544 |
Real period |
R |
44.834487177582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
219a1 |
Quadratic twists by: -19 |