Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144cf |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
239398627590144 = 214 · 36 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24849,1319409] |
[a1,a2,a3,a4,a6] |
Generators |
[19:924:1] |
Generators of the group modulo torsion |
j |
103573344013648/14611732641 |
j-invariant |
L |
5.3568780165212 |
L(r)(E,1)/r! |
Ω |
0.53452912390197 |
Real period |
R |
2.505419151611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78144z2 19536i2 |
Quadratic twists by: -4 8 |