Atkin-Lehner |
2- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18760d |
Isogeny class |
Conductor |
18760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-94319276800 = -1 · 28 · 52 · 72 · 673 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281,-14981] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-938:1] |
Generators of the group modulo torsion |
j |
-9619385344/368434675 |
j-invariant |
L |
2.9964732538347 |
L(r)(E,1)/r! |
Ω |
0.46676322477251 |
Real period |
R |
0.26748690902966 |
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 |
37520b1 93800e1 |
Quadratic twists by: -4 5 |