Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610z |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
106844500 = 22 · 53 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ -1 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132,-269] |
[a1,a2,a3,a4,a6] |
j |
105187761/44500 |
j-invariant |
L |
8.7823825801573 |
L(r)(E,1)/r! |
Ω |
1.4637304300047 |
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 |
43610v1 |
Quadratic twists by: -7 |