Atkin-Lehner |
2- 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10980h |
Isogeny class |
Conductor |
10980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-13831637760 = -1 · 28 · 311 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 4 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,-5596] |
[a1,a2,a3,a4,a6] |
j |
2809856/74115 |
j-invariant |
L |
3.6405111399204 |
L(r)(E,1)/r! |
Ω |
0.6067518566534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43920cc1 3660a1 54900o1 |
Quadratic twists by: -4 -3 5 |