Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bo |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-1776390750000 = -1 · 24 · 39 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 5 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3078,-91827] |
[a1,a2,a3,a4,a6] |
Generators |
[642:3375:8] |
Generators of the group modulo torsion |
j |
-28366848/15625 |
j-invariant |
L |
5.1690277803927 |
L(r)(E,1)/r! |
Ω |
0.31247158901139 |
Real period |
R |
2.0677991556296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997621692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960j1 129960c1 |
Quadratic twists by: -3 -19 |