Atkin-Lehner |
2+ 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936i |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2051032845312 = 210 · 39 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484515,-129810222] |
[a1,a2,a3,a4,a6] |
Generators |
[-25716440:242063:64000] |
Generators of the group modulo torsion |
j |
624099943831500/101761 |
j-invariant |
L |
6.1821066097855 |
L(r)(E,1)/r! |
Ω |
0.18095590188931 |
Real period |
R |
8.5409021552301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968b2 45936b2 |
Quadratic twists by: -4 -3 |