Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850bx |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
24385536 |
Modular degree for the optimal curve |
Δ |
-4.0023566513062E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-708598213,-7872487099583] |
[a1,a2,a3,a4,a6] |
j |
-21405018343206000779641/2177246093750000000 |
j-invariant |
L |
3.6658561007644 |
L(r)(E,1)/r! |
Ω |
0.014547048018899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6370b1 4550p1 |
Quadratic twists by: 5 -7 |