Atkin-Lehner |
3+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
17061b |
Isogeny class |
Conductor |
17061 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-60698994543 = -1 · 36 · 116 · 47 |
Discriminant |
Eigenvalues |
1 3+ 0 -4 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-970,16207] |
[a1,a2,a3,a4,a6] |
Generators |
[182:557:8] |
Generators of the group modulo torsion |
j |
-57066625/34263 |
j-invariant |
L |
3.368175491357 |
L(r)(E,1)/r! |
Ω |
1.0272748032222 |
Real period |
R |
3.278748277279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51183c1 141b1 |
Quadratic twists by: -3 -11 |