Atkin-Lehner |
2+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
85054b |
Isogeny class |
Conductor |
85054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-204859901721346048 = -1 · 215 · 23 · 437 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 0 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-171995,-35114467] |
[a1,a2,a3,a4,a6] |
j |
-89015244625/32407552 |
j-invariant |
L |
0.46047714145152 |
L(r)(E,1)/r! |
Ω |
0.11511931523194 |
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 |
1978e1 |
Quadratic twists by: -43 |