Atkin-Lehner |
3+ 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119427c |
Isogeny class |
Conductor |
119427 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-771102041787 = -1 · 33 · 73 · 116 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 11- -6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25208,-1532686] |
[a1,a2,a3,a4,a6] |
j |
-1000000000000/435267 |
j-invariant |
L |
0.56832242322586 |
L(r)(E,1)/r! |
Ω |
0.18944021889335 |
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 |
987c1 |
Quadratic twists by: -11 |