Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1666n |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
392006468 = 22 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-883,9981] |
[a1,a2,a3,a4,a6] |
j |
647214625/3332 |
j-invariant |
L |
1.6973046052892 |
L(r)(E,1)/r! |
Ω |
1.6973046052892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13328u1 53312w1 14994s1 41650l1 |
Quadratic twists by: -4 8 -3 5 |