Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016bd |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
904026210304 = 214 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 0 -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52785,-4685233] |
[a1,a2,a3,a4,a6] |
j |
992758417495504/55177381 |
j-invariant |
L |
0.62994507015849 |
L(r)(E,1)/r! |
Ω |
0.31497253507981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016y1 7504g1 |
Quadratic twists by: -4 8 |