Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294bz |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10999326093655536 = 24 · 33 · 74 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555704,159504843] |
[a1,a2,a3,a4,a6] |
j |
66282611823/38416 |
j-invariant |
L |
6.3946165757257 |
L(r)(E,1)/r! |
Ω |
0.39966353598286 |
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 |
21294n2 21294h2 |
Quadratic twists by: -3 13 |