Atkin-Lehner |
2+ 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
68150g |
Isogeny class |
Conductor |
68150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-716426875000 = -1 · 23 · 57 · 293 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350,-40500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:240:1] |
Generators of the group modulo torsion |
j |
302111711/45851320 |
j-invariant |
L |
6.762378189607 |
L(r)(E,1)/r! |
Ω |
0.4266084374934 |
Real period |
R |
2.6419145346994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630g1 |
Quadratic twists by: 5 |