Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240y |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-1580675595120 = -1 · 24 · 319 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4647,136109] |
[a1,a2,a3,a4,a6] |
j |
-951468070144/135517455 |
j-invariant |
L |
3.2703541612735 |
L(r)(E,1)/r! |
Ω |
0.81758854031837 |
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 |
6120n1 48960fa1 4080c1 61200bo1 |
Quadratic twists by: -4 8 -3 5 |