Atkin-Lehner |
2+ 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
116064c |
Isogeny class |
Conductor |
116064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7895189532672 = 212 · 314 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20316,1106336] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:729:1] [-59:1449:1] |
Generators of the group modulo torsion |
j |
310563811648/2644083 |
j-invariant |
L |
10.69942321698 |
L(r)(E,1)/r! |
Ω |
0.74294932733262 |
Real period |
R |
7.2006412988327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116064n3 38688c3 |
Quadratic twists by: -4 -3 |