Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
37926bz |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
1016257004905086 = 2 · 315 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69026,6826803] |
[a1,a2,a3,a4,a6] |
Generators |
[886:5385:8] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
11.196821193757 |
L(r)(E,1)/r! |
Ω |
0.49137806107856 |
Real period |
R |
2.8483214048004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642k1 5418w1 |
Quadratic twists by: -3 -7 |