Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018j |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7211558518164 = 22 · 37 · 78 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-82818,-9151920] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:101:1] [-165:105:1] |
Generators of the group modulo torsion |
j |
86173423834915873/9892398516 |
j-invariant |
L |
4.9423183253541 |
L(r)(E,1)/r! |
Ω |
0.28143046990137 |
Real period |
R |
8.7807093650626 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006bb4 126126cm4 |
Quadratic twists by: -3 -7 |