Atkin-Lehner |
2+ 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47970m |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3444480 |
Modular degree for the optimal curve |
Δ |
-5.0374660092847E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1970415,3244108675] |
[a1,a2,a3,a4,a6] |
j |
1160564213304182035439/6910104265136718750 |
j-invariant |
L |
1.1847807127726 |
L(r)(E,1)/r! |
Ω |
0.098731726005123 |
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 |
15990p1 |
Quadratic twists by: -3 |