Atkin-Lehner |
2+ 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240d |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
74544210000 = 24 · 32 · 54 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1495,-17468] |
[a1,a2,a3,a4,a6] |
j |
23110948673536/4659013125 |
j-invariant |
L |
3.1143419200547 |
L(r)(E,1)/r! |
Ω |
0.77858547997522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
90480s1 |
Quadratic twists by: -4 |