Atkin-Lehner |
2- 3- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32604c |
Isogeny class |
Conductor |
32604 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11712 |
Modular degree for the optimal curve |
Δ |
-22953216 = -1 · 28 · 3 · 112 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-252,-1644] |
[a1,a2,a3,a4,a6] |
j |
-6940769488/89661 |
j-invariant |
L |
1.1969389622201 |
L(r)(E,1)/r! |
Ω |
0.59846948110895 |
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 |
97812o1 |
Quadratic twists by: -3 |