Atkin-Lehner |
2- 3+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
78384o |
Isogeny class |
Conductor |
78384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5616351164547072 = 214 · 35 · 234 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70424,6247920] |
[a1,a2,a3,a4,a6] |
Generators |
[466:8626:1] |
Generators of the group modulo torsion |
j |
9430440896203417/1371179483532 |
j-invariant |
L |
4.5402041151005 |
L(r)(E,1)/r! |
Ω |
0.4104970358449 |
Real period |
R |
5.5301302062285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9798f2 |
Quadratic twists by: -4 |