Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360ch |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
2513715200 = 214 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-465,2863] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:80:1] |
Generators of the group modulo torsion |
j |
680136784/153425 |
j-invariant |
L |
6.1539929623632 |
L(r)(E,1)/r! |
Ω |
1.3628287894301 |
Real period |
R |
1.1289005976323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360y1 25840a1 |
Quadratic twists by: -4 8 |