Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294co |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-95841014724 = -1 · 22 · 310 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 4 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-851,-17481] |
[a1,a2,a3,a4,a6] |
j |
-552611137/777924 |
j-invariant |
L |
6.7277087743297 |
L(r)(E,1)/r! |
Ω |
0.4204817983956 |
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 |
7098e1 21294v1 |
Quadratic twists by: -3 13 |