Atkin-Lehner |
3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559h |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
7595416681359 = 3 · 13 · 417 |
Discriminant |
Eigenvalues |
-1 3- -3 2 1 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11802,-476331] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:155:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
3.7820989898421 |
L(r)(E,1)/r! |
Ω |
0.45922880167499 |
Real period |
R |
4.117880865012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599a1 |
Quadratic twists by: 41 |