Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
52528bp |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
2835026195513344 = 220 · 79 · 67 |
Discriminant |
Eigenvalues |
2- -1 1 7- 4 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43920,-2432576] |
[a1,a2,a3,a4,a6] |
j |
19443408769/5883136 |
j-invariant |
L |
2.700196170264 |
L(r)(E,1)/r! |
Ω |
0.33752452112234 |
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 |
6566i1 7504r1 |
Quadratic twists by: -4 -7 |