Atkin-Lehner |
2+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5264b |
Isogeny class |
Conductor |
5264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-336896 = -1 · 210 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -3 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-28] |
[a1,a2,a3,a4,a6] |
j |
-4/329 |
j-invariant |
L |
2.7782983822182 |
L(r)(E,1)/r! |
Ω |
1.3891491911091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2632c1 21056x1 47376s1 36848f1 |
Quadratic twists by: -4 8 -3 -7 |