Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050bd |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
417600 |
Modular degree for the optimal curve |
Δ |
15632700405031250 = 2 · 56 · 298 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -6 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63513,1303781] |
[a1,a2,a3,a4,a6] |
Generators |
[-1618260:52708879:21952] |
Generators of the group modulo torsion |
j |
3625/2 |
j-invariant |
L |
12.792469106149 |
L(r)(E,1)/r! |
Ω |
0.3410017327976 |
Real period |
R |
6.252396921466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682d1 42050g1 |
Quadratic twists by: 5 29 |