Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bc |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
3592512 |
Modular degree for the optimal curve |
Δ |
-3.1902399397503E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-573664,2722594862] |
[a1,a2,a3,a4,a6] |
j |
-1426016903883782089/217897680469248000 |
j-invariant |
L |
2.088014475262 |
L(r)(E,1)/r! |
Ω |
0.11600080419664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47190ck1 |
Quadratic twists by: -11 |