Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596j |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-1483833863449836288 = -1 · 28 · 39 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 -2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-474552,-138806460] |
[a1,a2,a3,a4,a6] |
Generators |
[828:5994:1] |
Generators of the group modulo torsion |
j |
-2875392/361 |
j-invariant |
L |
4.9273090872496 |
L(r)(E,1)/r! |
Ω |
0.090314994804691 |
Real period |
R |
4.5464110757828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596i1 115596c1 |
Quadratic twists by: -3 13 |