Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680ez |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-1.4389714005944E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1278147,-585364286] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/998400 |
j-invariant |
L |
0.56591416000939 |
L(r)(E,1)/r! |
Ω |
0.070739355364561 |
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 |
15210s1 40560ce1 9360bj1 |
Quadratic twists by: -4 -3 13 |