Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190bv |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-1793219219005500 = -1 · 22 · 32 · 53 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,19660,1747505] |
[a1,a2,a3,a4,a6] |
Generators |
[33:1543:1] |
Generators of the group modulo torsion |
j |
356400829/760500 |
j-invariant |
L |
8.1727436688164 |
L(r)(E,1)/r! |
Ω |
0.3260476739615 |
Real period |
R |
2.0888416841844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47190i1 |
Quadratic twists by: -11 |