Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dt |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
203489280 = 216 · 33 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-492,-4144] |
[a1,a2,a3,a4,a6] |
Generators |
[370:7104:1] |
Generators of the group modulo torsion |
j |
7443468/115 |
j-invariant |
L |
7.4379231978944 |
L(r)(E,1)/r! |
Ω |
1.0146467310598 |
Real period |
R |
3.6652772683726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240s1 16560a1 66240dm1 |
Quadratic twists by: -4 8 -3 |