Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240d |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-2820152526336000 = -1 · 212 · 39 · 53 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33588,-3484512] |
[a1,a2,a3,a4,a6] |
Generators |
[24036:3726324:1] |
Generators of the group modulo torsion |
j |
-51978639168/34980125 |
j-invariant |
L |
5.3075992282744 |
L(r)(E,1)/r! |
Ω |
0.17119177634919 |
Real period |
R |
7.7509553049573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240i1 33120z1 66240v1 |
Quadratic twists by: -4 8 -3 |