Atkin-Lehner |
2+ 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13566g |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-64012419072 = -1 · 220 · 33 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,931,5757] |
[a1,a2,a3,a4,a6] |
j |
89093018542247/64012419072 |
j-invariant |
L |
1.4031703838965 |
L(r)(E,1)/r! |
Ω |
0.70158519194826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108528bf1 40698br1 94962n1 |
Quadratic twists by: -4 -3 -7 |