Atkin-Lehner |
2+ 3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546w |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
361786109248872 = 23 · 315 · 7 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52907778,-148111444404] |
[a1,a2,a3,a4,a6] |
Generators |
[692347668889454780230713:-36090036896425906257588084:71396882736596082359] |
Generators of the group modulo torsion |
j |
22467500301258611144596513/496277241768 |
j-invariant |
L |
4.3570481755156 |
L(r)(E,1)/r! |
Ω |
0.055978295922712 |
Real period |
R |
38.917299202546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999838649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28182z2 |
Quadratic twists by: -3 |