Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18512i |
Isogeny class |
Conductor |
18512 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
800903168 = 212 · 133 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 1 -4 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-837,8947] |
[a1,a2,a3,a4,a6] |
Generators |
[14:13:1] |
Generators of the group modulo torsion |
j |
15851081728/195533 |
j-invariant |
L |
4.0829499149565 |
L(r)(E,1)/r! |
Ω |
1.5964596634836 |
Real period |
R |
0.85250090316451 |
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 |
1157c1 74048r1 |
Quadratic twists by: -4 8 |