Atkin-Lehner |
3- 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51129k |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
-27272478895043499 = -1 · 36 · 134 · 195 · 232 |
Discriminant |
Eigenvalues |
0 3- -1 1 3 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-327798,72672302] |
[a1,a2,a3,a4,a6] |
Generators |
[870:21118:1] |
Generators of the group modulo torsion |
j |
-5343367962759561216/37410807812131 |
j-invariant |
L |
4.5687224313999 |
L(r)(E,1)/r! |
Ω |
0.37692523088377 |
Real period |
R |
0.15151288826882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5681e1 |
Quadratic twists by: -3 |