Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248ca |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2939139883008 = 215 · 310 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-755951619,-7999983952382] |
[a1,a2,a3,a4,a6] |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
4.1460882932772 |
L(r)(E,1)/r! |
Ω |
0.028792279814444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906h5 124992gd6 10416bl5 |
Quadratic twists by: -4 8 -3 |