Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cx |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4633200 = -1 · 24 · 34 · 52 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13- 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,32,-67] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
8779520/11583 |
j-invariant |
L |
7.9072017791608 |
L(r)(E,1)/r! |
Ω |
1.303714820904 |
Real period |
R |
0.75814143288568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800o1 |
Quadratic twists by: 5 |