Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672r |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-72596094976 = -1 · 215 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,244,12880] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:435:8] |
Generators of the group modulo torsion |
j |
49027896/2215457 |
j-invariant |
L |
4.1567446938385 |
L(r)(E,1)/r! |
Ω |
0.82862131569323 |
Real period |
R |
5.0164588034535 |
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 |
20672m4 10336k4 |
Quadratic twists by: -4 8 |