Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352cf |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
134009604292608 = 214 · 35 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184928,-30665868] |
[a1,a2,a3,a4,a6] |
Generators |
[843:20328:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
10.584643737191 |
L(r)(E,1)/r! |
Ω |
0.23022563744202 |
Real period |
R |
4.597508693738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794y1 912h1 |
Quadratic twists by: -4 -11 |