Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bi |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1174246198272 = -1 · 210 · 33 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2205,33614] |
[a1,a2,a3,a4,a6] |
Generators |
[35:392:1] |
Generators of the group modulo torsion |
j |
364500/361 |
j-invariant |
L |
6.108899207096 |
L(r)(E,1)/r! |
Ω |
0.57042682363504 |
Real period |
R |
1.3386684658384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032a2 1368e2 |
Quadratic twists by: -3 -7 |