Atkin-Lehner |
3- 5- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
28635j |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-1380081470602875 = -1 · 3 · 53 · 235 · 833 |
Discriminant |
Eigenvalues |
-2 3- 5- 1 1 6 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,20520,-1376866] |
[a1,a2,a3,a4,a6] |
j |
955508636466704384/1380081470602875 |
j-invariant |
L |
2.2954545469657 |
L(r)(E,1)/r! |
Ω |
0.25505050521836 |
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 |
85905c1 |
Quadratic twists by: -3 |