Atkin-Lehner |
2- 3- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
7242k |
Isogeny class |
Conductor |
7242 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
584110752 = 25 · 3 · 17 · 713 |
Discriminant |
Eigenvalues |
2- 3- -2 3 5 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-574,-5212] |
[a1,a2,a3,a4,a6] |
j |
20917350641377/584110752 |
j-invariant |
L |
4.8851568577632 |
L(r)(E,1)/r! |
Ω |
0.97703137155264 |
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 |
57936p1 21726k1 123114r1 |
Quadratic twists by: -4 -3 17 |