Atkin-Lehner |
2+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22984d |
Isogeny class |
Conductor |
22984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
17067596624 = 24 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12506,538265] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:845:1] [1803:820:27] |
Generators of the group modulo torsion |
j |
2800908288/221 |
j-invariant |
L |
6.7096771716385 |
L(r)(E,1)/r! |
Ω |
1.1751474729363 |
Real period |
R |
11.419293877854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45968d1 1768e1 |
Quadratic twists by: -4 13 |