Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dj |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-852976189440 = -1 · 214 · 39 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2052,26352] |
[a1,a2,a3,a4,a6] |
Generators |
[13:235:1] [34:368:1] |
Generators of the group modulo torsion |
j |
2963088/2645 |
j-invariant |
L |
9.6572802515629 |
L(r)(E,1)/r! |
Ω |
0.58010480805622 |
Real period |
R |
4.1618687336641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240j2 16560e2 66240eb2 |
Quadratic twists by: -4 8 -3 |