Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190o |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-4300188750 = -1 · 2 · 37 · 54 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11- 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14632,-687386] |
[a1,a2,a3,a4,a6] |
Generators |
[153:751:1] |
Generators of the group modulo torsion |
j |
-2863490820124561/35538750 |
j-invariant |
L |
3.6473462223631 |
L(r)(E,1)/r! |
Ω |
0.21703983362295 |
Real period |
R |
4.201240575841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bz1 |
Quadratic twists by: -11 |