Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bs |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
195701435138048 = 217 · 79 · 37 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2165473,1225805727] |
[a1,a2,a3,a4,a6] |
Generators |
[506:16121:1] [12298:1354513:1] |
Generators of the group modulo torsion |
j |
212319530750/37 |
j-invariant |
L |
8.1179561315701 |
L(r)(E,1)/r! |
Ω |
0.44508510476104 |
Real period |
R |
18.23910988032 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032n2 29008f2 116032bn2 |
Quadratic twists by: -4 8 -7 |