Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190x |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-39004399012550400 = -1 · 28 · 37 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,36176,-9122434] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2618:1] |
Generators of the group modulo torsion |
j |
2955605685551/22016966400 |
j-invariant |
L |
5.8387174967192 |
L(r)(E,1)/r! |
Ω |
0.18095387394285 |
Real period |
R |
1.1523689454046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290ba1 |
Quadratic twists by: -11 |