Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47850ct |
Isogeny class |
Conductor |
47850 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-145344375000 = -1 · 23 · 36 · 57 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1838,35292] |
[a1,a2,a3,a4,a6] |
Generators |
[22:-86:1] |
Generators of the group modulo torsion |
j |
-43949604889/9302040 |
j-invariant |
L |
12.474044735451 |
L(r)(E,1)/r! |
Ω |
0.98684314785408 |
Real period |
R |
0.17556044413134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570c1 |
Quadratic twists by: 5 |