Atkin-Lehner |
2- 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290m |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-170622942963200 = -1 · 29 · 52 · 75 · 133 · 192 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -5 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8628,702231] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:717:1] [-67:1021:1] |
Generators of the group modulo torsion |
j |
-71024294922268689/170622942963200 |
j-invariant |
L |
6.4318652281179 |
L(r)(E,1)/r! |
Ω |
0.50668105004834 |
Real period |
R |
0.023507612002495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450d1 121030bi1 |
Quadratic twists by: 5 -7 |