Atkin-Lehner |
2- 3- 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674s |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
4838140283977728 = 224 · 39 · 72 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86459,9216555] |
[a1,a2,a3,a4,a6] |
j |
98044243279969897/6636680773632 |
j-invariant |
L |
5.0985931305249 |
L(r)(E,1)/r! |
Ω |
0.42488276087755 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558c1 |
Quadratic twists by: -3 |