Atkin-Lehner |
2+ 5+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
17170d |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1248 |
Modular degree for the optimal curve |
Δ |
-85850 = -1 · 2 · 52 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 1 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9,-18] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-68417929/85850 |
j-invariant |
L |
3.4033564474541 |
L(r)(E,1)/r! |
Ω |
1.3340232746836 |
Real period |
R |
1.2755986016291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85850q1 |
Quadratic twists by: 5 |