Atkin-Lehner |
2- 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110838ci |
Isogeny class |
Conductor |
110838 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
33756516032148 = 22 · 38 · 76 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-11428712,14870180268] |
[a1,a2,a3,a4,a6] |
Generators |
[4708:253426:1] |
Generators of the group modulo torsion |
j |
1403225087856519288817/286925652 |
j-invariant |
L |
15.183585385107 |
L(r)(E,1)/r! |
Ω |
0.38183497104592 |
Real period |
R |
2.4852990329068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2262k5 |
Quadratic twists by: -7 |