Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17800p |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
71200000000 = 211 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- -4 4 -3 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,37088] |
[a1,a2,a3,a4,a6] |
j |
1488770/89 |
j-invariant |
L |
1.0767978436739 |
L(r)(E,1)/r! |
Ω |
1.0767978436739 |
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 |
35600o1 17800c1 |
Quadratic twists by: -4 5 |