Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hk |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
3584 |
Product of Tamagawa factors cp |
Δ |
2.3361611143643E+30 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8953194465,-317675722032225] |
[a1,a2,a3,a4,a6] |
j |
302773487204995438715379645049/8911747415025000000000000 |
j-invariant |
L |
3.4828498009088 |
L(r)(E,1)/r! |
Ω |
0.015548436635793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360z2 21840bh2 |
Quadratic twists by: -4 8 |