Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200cx |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-35334144000000 = -1 · 217 · 35 · 56 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 6 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,-400012] |
[a1,a2,a3,a4,a6] |
Generators |
[254:3744:1] |
Generators of the group modulo torsion |
j |
-887503681/552096 |
j-invariant |
L |
10.631153314426 |
L(r)(E,1)/r! |
Ω |
0.24541204948862 |
Real period |
R |
2.1659803054201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650d1 3408e1 |
Quadratic twists by: -4 5 |