Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bu |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3090493440000 = 215 · 38 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79788,-8674288] |
[a1,a2,a3,a4,a6] |
Generators |
[412:5328:1] |
Generators of the group modulo torsion |
j |
2351575819592/129375 |
j-invariant |
L |
5.1844586916709 |
L(r)(E,1)/r! |
Ω |
0.2840642586074 |
Real period |
R |
4.5627516792086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240bc4 33120s4 22080n4 |
Quadratic twists by: -4 8 -3 |