Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292n |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-23133856207536 = -1 · 24 · 38 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -1 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1823,-228856] |
[a1,a2,a3,a4,a6] |
Generators |
[455:9747:1] |
Generators of the group modulo torsion |
j |
41852892987392/1445866012971 |
j-invariant |
L |
5.7240217795707 |
L(r)(E,1)/r! |
Ω |
0.32540865282798 |
Real period |
R |
0.14658547362488 |
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 |
81168bw1 60876q1 |
Quadratic twists by: -4 -3 |