Atkin-Lehner |
2+ 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240b |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-7068750000 = -1 · 24 · 3 · 58 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,169,3900] |
[a1,a2,a3,a4,a6] |
Generators |
[4:68:1] |
Generators of the group modulo torsion |
j |
33165879296/441796875 |
j-invariant |
L |
3.200497027985 |
L(r)(E,1)/r! |
Ω |
0.98213521132855 |
Real period |
R |
3.2587132515676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480m1 |
Quadratic twists by: -4 |