Atkin-Lehner |
2+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016y |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
14 |
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] |
Generators |
[123:-196:1] |
Generators of the group modulo torsion |
j |
992758417495504/55177381 |
j-invariant |
L |
4.2114928603244 |
L(r)(E,1)/r! |
Ω |
0.83743245132625 |
Real period |
R |
0.3592181293168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bd1 3752l1 |
Quadratic twists by: -4 8 |