Atkin-Lehner |
3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4959b |
Isogeny class |
Conductor |
4959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
314514657 = 39 · 19 · 292 |
Discriminant |
Eigenvalues |
-1 3+ -4 -4 -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272,-1430] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:19:1] |
Generators of the group modulo torsion |
j |
112678587/15979 |
j-invariant |
L |
1.028402341975 |
L(r)(E,1)/r! |
Ω |
1.1870324064085 |
Real period |
R |
0.86636416699576 |
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 |
79344q1 4959a1 123975h1 94221c1 |
Quadratic twists by: -4 -3 5 -19 |