Atkin-Lehner |
2- 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096s |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-101627136 = -1 · 28 · 34 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,116,-116] |
[a1,a2,a3,a4,a6] |
Generators |
[53:390:1] |
Generators of the group modulo torsion |
j |
668510768/396981 |
j-invariant |
L |
3.0714099032485 |
L(r)(E,1)/r! |
Ω |
1.1048030398856 |
Real period |
R |
2.7800520023611 |
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 |
4524d2 72384dm2 54288bf2 |
Quadratic twists by: -4 8 -3 |