Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392g |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1989147581908992 = -1 · 211 · 38 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8288,-2123308] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1188:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
7.8087152085768 |
L(r)(E,1)/r! |
Ω |
0.22483229832165 |
Real period |
R |
2.1707054732761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12696j6 101568cm5 76176o5 48a6 |
Quadratic twists by: -4 8 -3 -23 |