Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240k |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
81696685204742400 = 28 · 312 · 52 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-209820,34272000] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:6786:1] |
Generators of the group modulo torsion |
j |
3990492186049586896/319127676581025 |
j-invariant |
L |
6.1507921010109 |
L(r)(E,1)/r! |
Ω |
0.33438309365142 |
Real period |
R |
0.76643529255672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480k2 |
Quadratic twists by: -4 |