Atkin-Lehner |
2- 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570cc |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-2821171680 = -1 · 25 · 36 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113920682,-467978118199] |
[a1,a2,a3,a4,a6] |
j |
-224286900343878368247461209/3869920 |
j-invariant |
L |
4.1590231976766 |
L(r)(E,1)/r! |
Ω |
0.023105688561469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12730c1 |
Quadratic twists by: -3 |