Atkin-Lehner |
7+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73283c |
Isogeny class |
Conductor |
73283 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
216216 |
Modular degree for the optimal curve |
Δ |
-20700633672467 = -1 · 711 · 192 · 29 |
Discriminant |
Eigenvalues |
0 -3 2 7+ -2 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3686,201243] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:264:1] |
Generators of the group modulo torsion |
j |
15342018527232/57342475547 |
j-invariant |
L |
2.1876654501749 |
L(r)(E,1)/r! |
Ω |
0.48519737933557 |
Real period |
R |
4.5088154733634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999993561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73283a1 |
Quadratic twists by: -19 |