Atkin-Lehner |
2- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504bn |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29081720619008 = 215 · 316 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42284,3336592] |
[a1,a2,a3,a4,a6] |
Generators |
[-44268:884120:343] |
Generators of the group modulo torsion |
j |
287496 |
j-invariant |
L |
7.1921552755204 |
L(r)(E,1)/r! |
Ω |
0.66600328479382 |
Real period |
R |
5.3994893416709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504bn3 30752f4 64a2 |
Quadratic twists by: -4 8 -31 |