Atkin-Lehner |
3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
67275j |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6344999578125 = 310 · 56 · 13 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14630,673872] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1065:1] [-81:1190:1] |
Generators of the group modulo torsion |
j |
30400540561/557037 |
j-invariant |
L |
6.0513816932955 |
L(r)(E,1)/r! |
Ω |
0.75346528977542 |
Real period |
R |
2.0078501874631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22425a2 2691f2 |
Quadratic twists by: -3 5 |