Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008y |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-50584520448 = -1 · 28 · 32 · 73 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,692,-8020] |
[a1,a2,a3,a4,a6] |
Generators |
[26:168:1] |
Generators of the group modulo torsion |
j |
142946750000/197595783 |
j-invariant |
L |
9.0743629570799 |
L(r)(E,1)/r! |
Ω |
0.5989933249299 |
Real period |
R |
1.2624463107826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504b1 |
Quadratic twists by: -4 |