Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576bd |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1746186674637210624 = 210 · 36 · 712 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1967464,-1060956604] |
[a1,a2,a3,a4,a6] |
j |
6991270724335972/14494474449 |
j-invariant |
L |
1.5298828567765 |
L(r)(E,1)/r! |
Ω |
0.12749023806507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15288y2 122304fh2 91728bn2 4368b2 |
Quadratic twists by: -4 8 -3 -7 |