Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27048j |
Isogeny class |
Conductor |
27048 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-72155122677292032 = -1 · 210 · 312 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76848,15279984] |
[a1,a2,a3,a4,a6] |
j |
-416618810500/598934007 |
j-invariant |
L |
3.7330508045303 |
L(r)(E,1)/r! |
Ω |
0.31108756704426 |
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 |
54096b1 81144bm1 3864a1 |
Quadratic twists by: -4 -3 -7 |