Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5772d |
Isogeny class |
Conductor |
5772 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
2432333359872 = 28 · 35 · 134 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3380,-10716] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:78:1] [-44:234:1] |
Generators of the group modulo torsion |
j |
16686387731536/9501302187 |
j-invariant |
L |
4.5468991512528 |
L(r)(E,1)/r! |
Ω |
0.67695989019367 |
Real period |
R |
0.22388816122975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088m2 92352f2 17316d2 75036h2 |
Quadratic twists by: -4 8 -3 13 |