Atkin-Lehner |
3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33135a |
Isogeny class |
Conductor |
33135 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-37895678891015625 = -1 · 32 · 58 · 476 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,77269,4433978] |
[a1,a2,a3,a4,a6] |
j |
4733169839/3515625 |
j-invariant |
L |
0.46567171632298 |
L(r)(E,1)/r! |
Ω |
0.23283585815983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99405m5 15a4 |
Quadratic twists by: -3 -47 |