Atkin-Lehner |
2+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
3472a |
Isogeny class |
Conductor |
3472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6888448 = 210 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 6 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-139,618] |
[a1,a2,a3,a4,a6] |
j |
290046852/6727 |
j-invariant |
L |
2.3610126675926 |
L(r)(E,1)/r! |
Ω |
2.3610126675926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1736c2 13888o2 31248n2 86800q2 |
Quadratic twists by: -4 8 -3 5 |