Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882a |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-126771861388456272 = -1 · 24 · 3 · 177 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 5 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,109670,-9855836] |
[a1,a2,a3,a4,a6] |
Generators |
[2568:129922:1] |
Generators of the group modulo torsion |
j |
6043486088375/5252055888 |
j-invariant |
L |
3.1875927503913 |
L(r)(E,1)/r! |
Ω |
0.18164177978353 |
Real period |
R |
4.3871965389648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646ck1 2346e1 |
Quadratic twists by: -3 17 |