Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cb |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-1768726502400 = -1 · 210 · 3 · 52 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6355,202577] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:486:1] |
Generators of the group modulo torsion |
j |
-16022066761/998400 |
j-invariant |
L |
9.3720416722398 |
L(r)(E,1)/r! |
Ω |
0.82489453653477 |
Real period |
R |
0.5680751451941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
390f1 |
Quadratic twists by: -11 |