Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096bl |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
359464697856 = 218 · 38 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5259,143930] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1080:1] |
Generators of the group modulo torsion |
j |
5386984777/120384 |
j-invariant |
L |
6.9949523062584 |
L(r)(E,1)/r! |
Ω |
0.9553031485094 |
Real period |
R |
3.6611165351925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3762n1 120384cr1 10032h1 |
Quadratic twists by: -4 8 -3 |