Atkin-Lehner |
2+ 3+ 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984f |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110536710912 = -1 · 28 · 35 · 312 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,852,-13104] |
[a1,a2,a3,a4,a6] |
Generators |
[40880:455972:343] |
Generators of the group modulo torsion |
j |
266865662000/431784027 |
j-invariant |
L |
6.9274317316567 |
L(r)(E,1)/r! |
Ω |
0.55616085140075 |
Real period |
R |
6.2279030556483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998778 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31992j2 |
Quadratic twists by: -4 |