Atkin-Lehner |
2+ 7+ 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50344a |
Isogeny class |
Conductor |
50344 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11840 |
Modular degree for the optimal curve |
Δ |
-12888064 = -1 · 211 · 7 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ -5 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,-84] |
[a1,a2,a3,a4,a6] |
Generators |
[29355:100746:6859] |
Generators of the group modulo torsion |
j |
9314926/6293 |
j-invariant |
L |
10.381011378613 |
L(r)(E,1)/r! |
Ω |
1.27369906858 |
Real period |
R |
8.1502857579805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688j1 |
Quadratic twists by: -4 |