Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190p |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-5709990 = -1 · 2 · 3 · 5 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,114] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:8:1] |
Generators of the group modulo torsion |
j |
-121/390 |
j-invariant |
L |
3.110528513266 |
L(r)(E,1)/r! |
Ω |
1.9284835927012 |
Real period |
R |
0.53764669903366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190cf1 |
Quadratic twists by: -11 |