Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cs |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
22013825885356032 = 214 · 316 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5989980,-5642685232] |
[a1,a2,a3,a4,a6] |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
3.0881132175223 |
L(r)(E,1)/r! |
Ω |
0.09650353801091 |
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 |
52416fa2 6552t2 17472j2 |
Quadratic twists by: -4 8 -3 |