Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300cf |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-12183750000 = -1 · 24 · 33 · 57 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,5313] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:75:1] [-2:75:1] |
Generators of the group modulo torsion |
j |
-4864/135 |
j-invariant |
L |
12.383037178296 |
L(r)(E,1)/r! |
Ω |
1.0604231470746 |
Real period |
R |
0.32437358225834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660g1 108300i1 |
Quadratic twists by: 5 -19 |