Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130bk |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
37428480 |
Modular degree for the optimal curve |
Δ |
-5.3837331546135E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- 2 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51650985,-147196314585] |
[a1,a2,a3,a4,a6] |
j |
-897285664343286001/31699668330000 |
j-invariant |
L |
2.247963826371 |
L(r)(E,1)/r! |
Ω |
0.028099542709805 |
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 |
119130w1 |
Quadratic twists by: -19 |