Atkin-Lehner |
3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67335a |
Isogeny class |
Conductor |
67335 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.270184429904E+25 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-115311281,590836394414] |
[a1,a2,a3,a4,a6] |
Generators |
[652238:-185043725:8] |
Generators of the group modulo torsion |
j |
-6232551536827/1937102445 |
j-invariant |
L |
0.75986678400812 |
L(r)(E,1)/r! |
Ω |
0.059703845027723 |
Real period |
R |
12.727267132331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67335i2 |
Quadratic twists by: -67 |