Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294cw |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
Δ |
-861385910112 = -1 · 25 · 36 · 75 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -5 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,436,-44625] |
[a1,a2,a3,a4,a6] |
Generators |
[75:599:1] |
Generators of the group modulo torsion |
j |
5735339/537824 |
j-invariant |
L |
8.9556012081006 |
L(r)(E,1)/r! |
Ω |
0.42227154058997 |
Real period |
R |
0.42416314372446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366h2 21294ba2 |
Quadratic twists by: -3 13 |