Atkin-Lehner |
2- 3+ 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bk |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
60283347600 = 24 · 3 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-981,-981] |
[a1,a2,a3,a4,a6] |
j |
887503681/512400 |
j-invariant |
L |
3.7247878044627 |
L(r)(E,1)/r! |
Ω |
0.93119693474165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810v1 |
Quadratic twists by: -7 |