Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096w |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-712806114048 = -1 · 28 · 3 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -3 2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9865,-382621] |
[a1,a2,a3,a4,a6] |
j |
-3525581824/23667 |
j-invariant |
L |
0.47884772425516 |
L(r)(E,1)/r! |
Ω |
0.23942386273424 |
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 |
27048q1 7728c1 |
Quadratic twists by: -4 -7 |