Atkin-Lehner |
2- 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
34440x |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.589150390625E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6726760,-2884537600] |
[a1,a2,a3,a4,a6] |
Generators |
[-1720:60000:1] |
Generators of the group modulo torsion |
j |
32873172534774084512164/15519046783447265625 |
j-invariant |
L |
7.583813527171 |
L(r)(E,1)/r! |
Ω |
0.098169365718254 |
Real period |
R |
0.96565428936059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880n4 103320d4 |
Quadratic twists by: -4 -3 |