Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520dv |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.601937824809E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1676652,-572235696] |
[a1,a2,a3,a4,a6] |
Generators |
[3258:168960:1] |
Generators of the group modulo torsion |
j |
73645941730563747/22632992000000 |
j-invariant |
L |
7.8478969430136 |
L(r)(E,1)/r! |
Ω |
0.1358536959312 |
Real period |
R |
2.4069695251229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520n2 20880bi2 83520dp2 |
Quadratic twists by: -4 8 -3 |