Atkin-Lehner |
2- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800ct |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1100800 = -1 · 210 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -3 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80,280] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] [9:17:1] |
Generators of the group modulo torsion |
j |
-2211840/43 |
j-invariant |
L |
10.162428533522 |
L(r)(E,1)/r! |
Ω |
2.7565981158661 |
Real period |
R |
1.8432916417919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800z1 17200v1 68800eh1 |
Quadratic twists by: -4 8 5 |