Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dw |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-306725089443840 = -1 · 232 · 33 · 5 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2388,841424] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:372:1] |
Generators of the group modulo torsion |
j |
212776173/43335680 |
j-invariant |
L |
6.4087130926746 |
L(r)(E,1)/r! |
Ω |
0.42096526184403 |
Real period |
R |
3.8059631478913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240w1 16560x1 66240dp1 |
Quadratic twists by: -4 8 -3 |