Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
43610bc |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-428882370560 = -1 · 213 · 5 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 3 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,603,-31139] |
[a1,a2,a3,a4,a6] |
j |
206425071/3645440 |
j-invariant |
L |
11.939118113709 |
L(r)(E,1)/r! |
Ω |
0.45919685053429 |
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 |
890f1 |
Quadratic twists by: -7 |