Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
360c |
Isogeny class |
Conductor |
360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-100776960 = -1 · 210 · 39 · 5 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,486] |
[a1,a2,a3,a4,a6] |
j |
-108/5 |
j-invariant |
L |
1.5689797603134 |
L(r)(E,1)/r! |
Ω |
1.5689797603134 |
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 |
720b1 2880a1 360b1 1800n1 |
Quadratic twists by: -4 8 -3 5 |