Atkin-Lehner |
2+ 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096i |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16618100548608 = -1 · 210 · 316 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5856,91440] |
[a1,a2,a3,a4,a6] |
Generators |
[-3090:14545:216] |
Generators of the group modulo torsion |
j |
21684668893052/16228613817 |
j-invariant |
L |
3.5427499031271 |
L(r)(E,1)/r! |
Ω |
0.44393378893498 |
Real period |
R |
7.980356511331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9048p4 72384ct3 54288j3 |
Quadratic twists by: -4 8 -3 |