Atkin-Lehner |
2- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18400o |
Isogeny class |
Conductor |
18400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
314880 |
Modular degree for the optimal curve |
Δ |
-2059629760000000 = -1 · 212 · 57 · 235 |
Discriminant |
Eigenvalues |
2- 2 5+ -3 6 -4 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729533,-239603563] |
[a1,a2,a3,a4,a6] |
j |
-670933008285184/32181715 |
j-invariant |
L |
2.6137076106697 |
L(r)(E,1)/r! |
Ω |
0.081678362833427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18400h1 36800o1 3680b1 |
Quadratic twists by: -4 8 5 |