Atkin-Lehner |
2- 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360cf |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
968256000000 = 212 · 32 · 56 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20505,1136025] |
[a1,a2,a3,a4,a6] |
Generators |
[730:-1025:8] [-40:1375:1] |
Generators of the group modulo torsion |
j |
232789970236096/236390625 |
j-invariant |
L |
7.4846027907246 |
L(r)(E,1)/r! |
Ω |
0.87627381550606 |
Real period |
R |
1.4235662145557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39360di2 19680j1 118080ep2 |
Quadratic twists by: -4 8 -3 |