Atkin-Lehner |
2+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032n |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
8 |
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 |
[2005795098692684168185858815:-55509465644448871905695643092:961372857844923083209125] |
Generators of the group modulo torsion |
j |
212319530750/37 |
j-invariant |
L |
10.978558092833 |
L(r)(E,1)/r! |
Ω |
0.12445471345347 |
Real period |
R |
44.106638348065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116032bs2 14504e2 116032q2 |
Quadratic twists by: -4 8 -7 |