Atkin-Lehner |
3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5217a |
Isogeny class |
Conductor |
5217 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
9054227346363 = 37 · 374 · 472 |
Discriminant |
Eigenvalues |
1 3- 4 4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10324,376019] |
[a1,a2,a3,a4,a6] |
j |
121676645386920889/9054227346363 |
j-invariant |
L |
5.0086923039053 |
L(r)(E,1)/r! |
Ω |
0.71552747198647 |
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 |
83472l2 15651b2 |
Quadratic twists by: -4 -3 |