Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240s |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
46802534400 = 217 · 33 · 52 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-5264] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:80:1] |
Generators of the group modulo torsion |
j |
28697814/13225 |
j-invariant |
L |
5.8074333240498 |
L(r)(E,1)/r! |
Ω |
0.89352697397273 |
Real period |
R |
0.81243117065449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dt2 8280b2 66240a2 |
Quadratic twists by: -4 8 -3 |