Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
39072q |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-73323310906593792 = -1 · 29 · 310 · 116 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93208,16989404] |
[a1,a2,a3,a4,a6] |
Generators |
[815:-21978:1] |
Generators of the group modulo torsion |
j |
-174911344578125000/143209591614441 |
j-invariant |
L |
6.7466152842115 |
L(r)(E,1)/r! |
Ω |
0.31649406294134 |
Real period |
R |
0.71055732941852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072a2 78144b2 117216j2 |
Quadratic twists by: -4 8 -3 |