Atkin-Lehner |
2+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
1666h |
Isogeny class |
Conductor |
1666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
-322262082164621312 = -1 · 226 · 710 · 17 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -5 3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74881,-28409795] |
[a1,a2,a3,a4,a6] |
Generators |
[137214:738305:343] |
Generators of the group modulo torsion |
j |
-164384733177/1140850688 |
j-invariant |
L |
1.4914517659405 |
L(r)(E,1)/r! |
Ω |
0.12811129855837 |
Real period |
R |
5.820922052636 |
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 |
13328z1 53312be1 14994co1 41650bx1 |
Quadratic twists by: -4 8 -3 5 |