Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190j |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1083456 |
Modular degree for the optimal curve |
Δ |
-6026687935217664000 = -1 · 219 · 3 · 53 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 11+ 13- 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-442862,163578804] |
[a1,a2,a3,a4,a6] |
Generators |
[-797:3726:1] |
Generators of the group modulo torsion |
j |
-4073768343611/2555904000 |
j-invariant |
L |
3.2329078409954 |
L(r)(E,1)/r! |
Ω |
0.22112867847157 |
Real period |
R |
2.4366716123222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bw1 |
Quadratic twists by: -11 |