Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bd |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
8553600 |
Modular degree for the optimal curve |
Δ |
-2.1117396808939E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10263701,-18127813684] |
[a1,a2,a3,a4,a6] |
j |
557820238477845431/985142146218750 |
j-invariant |
L |
1.573522750815 |
L(r)(E,1)/r! |
Ω |
0.052450758361477 |
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 |
47190cl1 |
Quadratic twists by: -11 |