Atkin-Lehner |
2- 5- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
69680bf |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-148656696859340800 = -1 · 212 · 52 · 136 · 673 |
Discriminant |
Eigenvalues |
2- 2 5- 4 0 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38485,-18763683] |
[a1,a2,a3,a4,a6] |
j |
-1539038632738816/36293138881675 |
j-invariant |
L |
6.7610836111465 |
L(r)(E,1)/r! |
Ω |
0.14085590921987 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4355c2 |
Quadratic twists by: -4 |