Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158v |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
2236701638899775502 = 2 · 37 · 72 · 133 · 416 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-542277,135954639] |
[a1,a2,a3,a4,a6] |
Generators |
[297213:5949789:343] |
Generators of the group modulo torsion |
j |
24191354664255948625/3068177831138238 |
j-invariant |
L |
4.8279284500217 |
L(r)(E,1)/r! |
Ω |
0.25042428946024 |
Real period |
R |
9.6394971513598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
22386ba4 |
Quadratic twists by: -3 |