Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384bp |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-252595616612352 = -1 · 234 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14143,402273] |
[a1,a2,a3,a4,a6] |
j |
1193377118543/963575808 |
j-invariant |
L |
0.71434781499086 |
L(r)(E,1)/r! |
Ω |
0.35717390998565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384w1 18096bi1 |
Quadratic twists by: -4 8 |