Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dv |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
59739790639104 = 224 · 32 · 172 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19329,-971649] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2040:1] |
Generators of the group modulo torsion |
j |
3046733141473/227889216 |
j-invariant |
L |
2.8922370037995 |
L(r)(E,1)/r! |
Ω |
0.40681209480261 |
Real period |
R |
3.5547578212072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000180749 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120768s2 30192t2 |
Quadratic twists by: -4 8 |