Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4114d |
Isogeny class |
Conductor |
4114 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-4114 = -1 · 2 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 3 -1 11- -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1,3] |
[a1,a2,a3,a4,a6] |
j |
-297/34 |
j-invariant |
L |
3.6019148677822 |
L(r)(E,1)/r! |
Ω |
3.6019148677822 |
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 |
32912y1 37026o1 102850c1 4114a1 |
Quadratic twists by: -4 -3 5 -11 |