Atkin-Lehner |
3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
17391i |
Isogeny class |
Conductor |
17391 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-125897153283 = -1 · 36 · 11 · 17 · 314 |
Discriminant |
Eigenvalues |
0 3- -2 -3 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-439,-17582] |
[a1,a2,a3,a4,a6] |
Generators |
[32:46:1] [38:148:1] |
Generators of the group modulo torsion |
j |
-9377912553472/125897153283 |
j-invariant |
L |
6.028137739458 |
L(r)(E,1)/r! |
Ω |
0.4460742352315 |
Real period |
R |
0.5630731075074 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52173h1 |
Quadratic twists by: -3 |