Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
2610n |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
676512000 = 28 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-632,6139] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-199:1] |
Generators of the group modulo torsion |
j |
38238692409/928000 |
j-invariant |
L |
4.5647527707905 |
L(r)(E,1)/r! |
Ω |
1.6101611815184 |
Real period |
R |
0.11812359799714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20880cm1 83520w1 290a1 13050n1 |
Quadratic twists by: -4 8 -3 5 |