Atkin-Lehner |
3- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425m |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
-842591656494140625 = -1 · 33 · 514 · 17 · 673 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -1 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-599338,-184019083] |
[a1,a2,a3,a4,a6] |
j |
-1523769141358870489/53925866015625 |
j-invariant |
L |
2.0547577816945 |
L(r)(E,1)/r! |
Ω |
0.085614912193121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17085a1 |
Quadratic twists by: 5 |