Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400gh |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.059982457904E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2827875,946881250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1150:51750:1] |
Generators of the group modulo torsion |
j |
428831641421/181752822 |
j-invariant |
L |
4.7795392183557 |
L(r)(E,1)/r! |
Ω |
0.14038394787657 |
Real period |
R |
4.2557743342482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550q2 22800dp2 68400gg2 |
Quadratic twists by: -4 -3 5 |