Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190be |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-672740640 = -1 · 25 · 35 · 5 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2148,38146] |
[a1,a2,a3,a4,a6] |
Generators |
[32:33:1] |
Generators of the group modulo torsion |
j |
-822920371811/505440 |
j-invariant |
L |
5.5812964196857 |
L(r)(E,1)/r! |
Ω |
1.5964618618843 |
Real period |
R |
0.34960411851631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190cs1 |
Quadratic twists by: -11 |