Atkin-Lehner |
2- 7+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904p |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-2087039344882745344 = -1 · 233 · 7 · 132 · 593 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2705864,1715507696] |
[a1,a2,a3,a4,a6] |
j |
-534911356816944326857/509531090059264 |
j-invariant |
L |
6.2336747367329 |
L(r)(E,1)/r! |
Ω |
0.2597364456208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10738d2 |
Quadratic twists by: -4 |