Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1666d |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-56000924 = -1 · 22 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 0 2 7- -2 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89,-183] |
[a1,a2,a3,a4,a6] |
Generators |
[4:13:1] |
Generators of the group modulo torsion |
j |
658503/476 |
j-invariant |
L |
2.3108748961432 |
L(r)(E,1)/r! |
Ω |
1.1159453092511 |
Real period |
R |
2.0707779108764 |
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 |
13328q1 53312s1 14994cm1 41650bn1 |
Quadratic twists by: -4 8 -3 5 |