Atkin-Lehner |
2+ 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190i |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-1012225500 = -1 · 22 · 32 · 53 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,163,-1239] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-91:1] |
Generators of the group modulo torsion |
j |
356400829/760500 |
j-invariant |
L |
4.3806124815758 |
L(r)(E,1)/r! |
Ω |
0.81096343150962 |
Real period |
R |
0.4501448844001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47190bv1 |
Quadratic twists by: -11 |