Atkin-Lehner |
17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
1717c |
Isogeny class |
Conductor |
1717 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1560 |
Modular degree for the optimal curve |
Δ |
143405557 = 175 · 101 |
Discriminant |
Eigenvalues |
-2 -1 -4 3 -3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-600,5832] |
[a1,a2,a3,a4,a6] |
Generators |
[19:30:1] |
Generators of the group modulo torsion |
j |
23927707242496/143405557 |
j-invariant |
L |
0.97121388182141 |
L(r)(E,1)/r! |
Ω |
1.8458528330605 |
Real period |
R |
2.630799878588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
27472m1 109888i1 15453d1 42925e1 |
Quadratic twists by: -4 8 -3 5 |