Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85260p |
Isogeny class |
Conductor |
85260 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-143263728518400 = -1 · 28 · 38 · 52 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,964,-575436] |
[a1,a2,a3,a4,a6] |
j |
3286064/4756725 |
j-invariant |
L |
2.1605119289776 |
L(r)(E,1)/r! |
Ω |
0.27006399099002 |
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 |
1740b2 |
Quadratic twists by: -7 |