Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944w |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
196224 |
Modular degree for the optimal curve |
Δ |
-417554590464 = -1 · 28 · 36 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -1 -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165708,-25963524] |
[a1,a2,a3,a4,a6] |
j |
-2696414447748096/2237411 |
j-invariant |
L |
0.70987997012211 |
L(r)(E,1)/r! |
Ω |
0.11831332740247 |
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 |
32472o1 7216a1 |
Quadratic twists by: -4 -3 |