Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570m |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
277104391372800 = 214 · 312 · 52 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16335,69741] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:666:1] |
Generators of the group modulo torsion |
j |
661254370072561/380115763200 |
j-invariant |
L |
3.0796528081428 |
L(r)(E,1)/r! |
Ω |
0.46909163501878 |
Real period |
R |
1.6412852958833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877585 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190bj1 |
Quadratic twists by: -3 |