Atkin-Lehner |
2+ 7+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60424a |
Isogeny class |
Conductor |
60424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11656646170624 = -1 · 211 · 74 · 134 · 83 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,781,-164050] |
[a1,a2,a3,a4,a6] |
Generators |
[633028917730:-7862610702198:4057719875] |
Generators of the group modulo torsion |
j |
25724495214/5691721763 |
j-invariant |
L |
6.0865282015701 |
L(r)(E,1)/r! |
Ω |
0.33694773833658 |
Real period |
R |
18.063715850144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998512 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120848a3 |
Quadratic twists by: -4 |