Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850cr |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-452332031250 = -1 · 2 · 3 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 0 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5963,179667] |
[a1,a2,a3,a4,a6] |
Generators |
[486:1407:8] |
Generators of the group modulo torsion |
j |
-1500730351849/28949250 |
j-invariant |
L |
12.014089779674 |
L(r)(E,1)/r! |
Ω |
0.93883634297935 |
Real period |
R |
2.1327980234081 |
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 |
9570a1 |
Quadratic twists by: 5 |