Atkin-Lehner |
2+ 7- 23+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17066b |
Isogeny class |
Conductor |
17066 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-15291136 = -1 · 28 · 72 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 0 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,49,-147] |
[a1,a2,a3,a4,a6] |
Generators |
[14:49:1] |
Generators of the group modulo torsion |
j |
12862247607/15291136 |
j-invariant |
L |
2.5278545373421 |
L(r)(E,1)/r! |
Ω |
1.1882969385092 |
Real period |
R |
0.53182299293674 |
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 |
119462b1 |
Quadratic twists by: -7 |