Atkin-Lehner |
2+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664f |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-335358501060608 = -1 · 218 · 176 · 53 |
Discriminant |
Eigenvalues |
2+ 0 0 2 6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11540,-740688] |
[a1,a2,a3,a4,a6] |
j |
648337611375/1279291157 |
j-invariant |
L |
1.1289077353745 |
L(r)(E,1)/r! |
Ω |
0.28222693438075 |
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 |
57664z2 901a2 |
Quadratic twists by: -4 8 |