Atkin-Lehner |
2- 3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69936o |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9626200834572288 = 219 · 32 · 314 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83248,7976896] |
[a1,a2,a3,a4,a6] |
Generators |
[392:-5952:1] [-248:3648:1] |
Generators of the group modulo torsion |
j |
15577236252168625/2350146688128 |
j-invariant |
L |
8.934994525631 |
L(r)(E,1)/r! |
Ω |
0.39194606544275 |
Real period |
R |
1.4247806192891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8742i2 |
Quadratic twists by: -4 |