Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736et |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4369057772470272 = 219 · 38 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41772,-827440] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:864:1] [-118:1568:1] |
Generators of the group modulo torsion |
j |
42180533641/22862322 |
j-invariant |
L |
8.005129969233 |
L(r)(E,1)/r! |
Ω |
0.35601769837744 |
Real period |
R |
2.8106502871607 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736cg2 23184bs2 30912bj2 |
Quadratic twists by: -4 8 -3 |