Atkin-Lehner |
2+ 3+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008d |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-1.4246955521401E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 5 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11771304,-9392748528] |
[a1,a2,a3,a4,a6] |
j |
88078001139996067754062/69565212506841479043 |
j-invariant |
L |
1.838123617748 |
L(r)(E,1)/r! |
Ω |
0.057441365542798 |
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 |
42504h1 |
Quadratic twists by: -4 |