Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416m |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-58611990528 = -1 · 218 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,660,9648] |
[a1,a2,a3,a4,a6] |
j |
4492125/8281 |
j-invariant |
L |
3.0597164455531 |
L(r)(E,1)/r! |
Ω |
0.7649291115471 |
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 |
52416ek2 819b2 52416n2 |
Quadratic twists by: -4 8 -3 |