Atkin-Lehner |
2+ 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064k |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4689216004611004416 = -1 · 211 · 324 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-623811,216373790] |
[a1,a2,a3,a4,a6] |
j |
-17981475160811906/3140817904323 |
j-invariant |
L |
1.8790325963719 |
L(r)(E,1)/r! |
Ω |
0.23487907450724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128g2 17688e2 |
Quadratic twists by: -4 -3 |