Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200g |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-5452800 = -1 · 210 · 3 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 0 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128,-528] |
[a1,a2,a3,a4,a6] |
Generators |
[46:298:1] |
Generators of the group modulo torsion |
j |
-9130660/213 |
j-invariant |
L |
4.6213764479322 |
L(r)(E,1)/r! |
Ω |
0.70824839530889 |
Real period |
R |
3.2625392974737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600bi1 85200bf1 |
Quadratic twists by: -4 5 |