Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384cx |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-14430511300608 = -1 · 223 · 33 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 4 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5407,-98145] |
[a1,a2,a3,a4,a6] |
j |
66676466375/55048032 |
j-invariant |
L |
4.6691188999355 |
L(r)(E,1)/r! |
Ω |
0.38909324362964 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72384g1 18096v1 |
Quadratic twists by: -4 8 |