Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680bc |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3947097600 = 29 · 38 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4467,114874] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:450:1] |
Generators of the group modulo torsion |
j |
26410345352/10575 |
j-invariant |
L |
6.561618332843 |
L(r)(E,1)/r! |
Ω |
1.3691243839744 |
Real period |
R |
2.3962827664069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67680j2 22560b2 |
Quadratic twists by: -4 -3 |