Atkin-Lehner |
3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081i |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
63580226585841 = 38 · 78 · 412 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18531,-887328] |
[a1,a2,a3,a4,a6] |
Generators |
[-164112:687396:2197] |
Generators of the group modulo torsion |
j |
8205738913/741321 |
j-invariant |
L |
6.5883170710584 |
L(r)(E,1)/r! |
Ω |
0.41155261272709 |
Real period |
R |
8.0042221423427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6027h2 2583e2 |
Quadratic twists by: -3 -7 |