Atkin-Lehner |
2- 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39396m |
Isogeny class |
Conductor |
39396 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
119155901098752 = 28 · 310 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13540,298724] |
[a1,a2,a3,a4,a6] |
Generators |
[212:-2646:1] [-85:918:1] |
Generators of the group modulo torsion |
j |
9115564624/3956283 |
j-invariant |
L |
8.5888058257347 |
L(r)(E,1)/r! |
Ω |
0.5313417716214 |
Real period |
R |
0.5388123855779 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118188x2 804a2 |
Quadratic twists by: -3 -7 |