Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380k |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-10813060816185600 = -1 · 28 · 318 · 52 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34060,-5568700] |
[a1,a2,a3,a4,a6] |
Generators |
[320:4050:1] |
Generators of the group modulo torsion |
j |
-17069878444731856/42238518813225 |
j-invariant |
L |
8.5310450914974 |
L(r)(E,1)/r! |
Ω |
0.16373747114777 |
Real period |
R |
0.96485132817676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112140k2 |
Quadratic twists by: -3 |