Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240f |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
106622023680000 = 214 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360828,-83423952] |
[a1,a2,a3,a4,a6] |
Generators |
[802:11960:1] |
Generators of the group modulo torsion |
j |
16110654114672/330625 |
j-invariant |
L |
6.3774506354362 |
L(r)(E,1)/r! |
Ω |
0.19479375597889 |
Real period |
R |
4.0924377964808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dq2 4140b2 66240x2 |
Quadratic twists by: -4 8 -3 |