Atkin-Lehner |
2- 3- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
120780r |
Isogeny class |
Conductor |
120780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-41942230348431600 = -1 · 24 · 36 · 52 · 119 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11+ 0 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66537,11862909] |
[a1,a2,a3,a4,a6] |
j |
-2792967280982784/3595870228775 |
j-invariant |
L |
0.65328806373889 |
L(r)(E,1)/r! |
Ω |
0.32664444105764 |
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 |
13420c1 |
Quadratic twists by: -3 |