Atkin-Lehner |
2- 3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800br |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-56550780000000 = -1 · 28 · 32 · 57 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1508,363012] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:546:1] |
Generators of the group modulo torsion |
j |
-94875856/14137695 |
j-invariant |
L |
6.0519764373324 |
L(r)(E,1)/r! |
Ω |
0.51347118787241 |
Real period |
R |
1.473299909776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986991 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17160i1 |
Quadratic twists by: 5 |