Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018q |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
75906083661408 = 25 · 312 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13671,453789] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:903:1] |
Generators of the group modulo torsion |
j |
387627787952497/104123571552 |
j-invariant |
L |
4.5411735388132 |
L(r)(E,1)/r! |
Ω |
0.57168193165461 |
Real period |
R |
0.99294146083772 |
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 |
6006be2 126126cn2 |
Quadratic twists by: -3 -7 |