Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800eb |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26400 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 2 4 -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,167,1287] |
[a1,a2,a3,a4,a6] |
Generators |
[18:99:1] |
Generators of the group modulo torsion |
j |
20480/43 |
j-invariant |
L |
10.825318847098 |
L(r)(E,1)/r! |
Ω |
1.0750538414057 |
Real period |
R |
3.3565199030464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cp1 17200bi1 68800dr1 |
Quadratic twists by: -4 8 5 |