Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fr |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14539436900352 = -1 · 214 · 37 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7068,-293200] |
[a1,a2,a3,a4,a6] |
j |
-3269383504/1217307 |
j-invariant |
L |
2.044768799061 |
L(r)(E,1)/r! |
Ω |
0.25559610008643 |
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 |
52416dn2 13104t2 17472ca2 |
Quadratic twists by: -4 8 -3 |