Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18207f |
Isogeny class |
Conductor |
18207 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
72263583 = 36 · 73 · 172 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,98] |
[a1,a2,a3,a4,a6] |
Generators |
[14:28:1] |
Generators of the group modulo torsion |
j |
610929/343 |
j-invariant |
L |
7.9404662922991 |
L(r)(E,1)/r! |
Ω |
1.6786560970168 |
Real period |
R |
1.5767506531784 |
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 |
2023b1 127449bj1 18207c1 |
Quadratic twists by: -3 -7 17 |