Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36800dc |
Isogeny class |
Conductor |
36800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-1520875000000 = -1 · 26 · 59 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- 3 0 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2750,81250] |
[a1,a2,a3,a4,a6] |
Generators |
[21:181:1] |
Generators of the group modulo torsion |
j |
-18399744/12167 |
j-invariant |
L |
6.3212845253117 |
L(r)(E,1)/r! |
Ω |
0.7829228344756 |
Real period |
R |
4.0369780053384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36800dl1 18400r1 36800dm1 |
Quadratic twists by: -4 8 5 |