Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936m |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-154676166644736 = -1 · 210 · 316 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2451,-600190] |
[a1,a2,a3,a4,a6] |
Generators |
[622:15444:1] |
Generators of the group modulo torsion |
j |
-2181354052/207202941 |
j-invariant |
L |
4.3087194937557 |
L(r)(E,1)/r! |
Ω |
0.25519768163613 |
Real period |
R |
4.2209626143141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968k2 15312e2 |
Quadratic twists by: -4 -3 |