Atkin-Lehner |
2- 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200ci |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-104693760000000000 = -1 · 224 · 32 · 510 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208008,-39625488] |
[a1,a2,a3,a4,a6] |
Generators |
[537:1800:1] |
Generators of the group modulo torsion |
j |
-15551989015681/1635840000 |
j-invariant |
L |
4.0286822775687 |
L(r)(E,1)/r! |
Ω |
0.11111549915765 |
Real period |
R |
4.532088573936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650h1 17040bc1 |
Quadratic twists by: -4 5 |