Atkin-Lehner |
2+ 3- 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590x |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-717313218750 = -1 · 2 · 36 · 56 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1341,-36437] |
[a1,a2,a3,a4,a6] |
Generators |
[27:124:1] |
Generators of the group modulo torsion |
j |
365679263951/983968750 |
j-invariant |
L |
5.2434587424958 |
L(r)(E,1)/r! |
Ω |
0.46455962169672 |
Real period |
R |
1.8811574435504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8510e2 |
Quadratic twists by: -3 |