Atkin-Lehner |
2+ 3- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518i |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-9113958 = -1 · 2 · 36 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 5 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,48,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[14:11:8] |
Generators of the group modulo torsion |
j |
16581375/12502 |
j-invariant |
L |
5.9087039689711 |
L(r)(E,1)/r! |
Ω |
1.2913517685854 |
Real period |
R |
2.2877979807963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12502e1 |
Quadratic twists by: -3 |