Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294cn |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
6397440 |
Modular degree for the optimal curve |
Δ |
-2.6215681558205E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 1 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-152836196,731454676359] |
[a1,a2,a3,a4,a6] |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
5.5404280796061 |
L(r)(E,1)/r! |
Ω |
0.081476883523619 |
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 |
7098d1 1638f1 |
Quadratic twists by: -3 13 |