Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
10050bd |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-80114730750 = -1 · 2 · 314 · 53 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,32,13631] |
[a1,a2,a3,a4,a6] |
j |
28934443/640917846 |
j-invariant |
L |
3.4234432078204 |
L(r)(E,1)/r! |
Ω |
0.8558608019551 |
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 |
80400dk1 30150bi1 10050n1 |
Quadratic twists by: -4 -3 5 |