Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
67600da |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-247132620800000000 = -1 · 217 · 58 · 136 |
Discriminant |
Eigenvalues |
2- -1 5- 2 -3 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-204208,-42753088] |
[a1,a2,a3,a4,a6] |
Generators |
[25339958:594502454:29791] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
4.7111716330392 |
L(r)(E,1)/r! |
Ω |
0.11077178415796 |
Real period |
R |
10.632607547014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450x3 67600br1 400c3 |
Quadratic twists by: -4 5 13 |