Atkin-Lehner |
7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5551a |
Isogeny class |
Conductor |
5551 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12240 |
Modular degree for the optimal curve |
Δ |
644712973723 = 75 · 132 · 613 |
Discriminant |
Eigenvalues |
1 3 0 7+ 3 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2317,19310] |
[a1,a2,a3,a4,a6] |
j |
1375964544515625/644712973723 |
j-invariant |
L |
4.882787390131 |
L(r)(E,1)/r! |
Ω |
0.81379789835517 |
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 |
88816m1 49959c1 38857c1 72163g1 |
Quadratic twists by: -4 -3 -7 13 |