Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26700g |
Isogeny class |
Conductor |
26700 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-58392900000000 = -1 · 28 · 38 · 58 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8492,-208012] |
[a1,a2,a3,a4,a6] |
Generators |
[203:3150:1] |
Generators of the group modulo torsion |
j |
16929437744/14598225 |
j-invariant |
L |
6.3173066120036 |
L(r)(E,1)/r! |
Ω |
0.34482107005198 |
Real period |
R |
2.2900669219007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106800z2 80100r2 5340b2 |
Quadratic twists by: -4 -3 5 |