Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752j |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-1851297588217584 = -1 · 24 · 317 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 3 -5 4 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22071,-2424503] |
[a1,a2,a3,a4,a6] |
j |
-101939437643008/158718929031 |
j-invariant |
L |
2.9709182073487 |
L(r)(E,1)/r! |
Ω |
0.18568238756554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38376r1 25584i1 |
Quadratic twists by: -4 -3 |