Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240bq |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-7390867159111680000 = -1 · 214 · 322 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142428,132425552] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:11520:1] |
Generators of the group modulo torsion |
j |
-26752376766544/618796614375 |
j-invariant |
L |
6.6405090939826 |
L(r)(E,1)/r! |
Ω |
0.19720198571908 |
Real period |
R |
4.2092052660137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240ee1 8280k1 22080m1 |
Quadratic twists by: -4 8 -3 |