Atkin-Lehner |
2- 3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030bk |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-1.3299012465297E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13497593,-25922530663] |
[a1,a2,a3,a4,a6] |
j |
-373048363475306556254281/182428154530826813440 |
j-invariant |
L |
3.6947044688933 |
L(r)(E,1)/r! |
Ω |
0.038486504912643 |
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 |
7670c1 |
Quadratic twists by: -3 |