Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bp |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
343870771200 = 212 · 3 · 52 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33120,-2308800] |
[a1,a2,a3,a4,a6] |
j |
980952235382881/83952825 |
j-invariant |
L |
1.4155920280905 |
L(r)(E,1)/r! |
Ω |
0.35389800150241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785d1 |
Quadratic twists by: -4 |