Atkin-Lehner |
7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
86989h |
Isogeny class |
Conductor |
86989 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
739840 |
Modular degree for the optimal curve |
Δ |
-249864655779179 = -1 · 72 · 179 · 43 |
Discriminant |
Eigenvalues |
1 -3 3 7- -6 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3992,-755297] |
[a1,a2,a3,a4,a6] |
Generators |
[39432:14675:512] |
Generators of the group modulo torsion |
j |
59319/2107 |
j-invariant |
L |
4.1902207489038 |
L(r)(E,1)/r! |
Ω |
0.26675646747448 |
Real period |
R |
3.927009511651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86989a1 |
Quadratic twists by: 17 |