Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430k |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
98828100 = 22 · 35 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-444,3526] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:81:1] [-1:63:1] |
Generators of the group modulo torsion |
j |
9648632960569/98828100 |
j-invariant |
L |
5.7412887120313 |
L(r)(E,1)/r! |
Ω |
1.9021725616327 |
Real period |
R |
0.30182796386802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290cg1 87150cd1 122010n1 |
Quadratic twists by: -3 5 -7 |