Atkin-Lehner |
2+ 3- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28272b |
Isogeny class |
Conductor |
28272 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
721195197696 = 28 · 314 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 6 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2412,-21060] |
[a1,a2,a3,a4,a6] |
j |
6064509776848/2817168741 |
j-invariant |
L |
4.9865866902492 |
L(r)(E,1)/r! |
Ω |
0.71236952717849 |
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 |
14136c2 113088y2 84816c2 |
Quadratic twists by: -4 8 -3 |