Atkin-Lehner |
2- 3+ 5- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970bl |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
-11191841979840 = -1 · 26 · 39 · 5 · 312 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2968,147691] |
[a1,a2,a3,a4,a6] |
Generators |
[19:449:1] |
Generators of the group modulo torsion |
j |
146947188933/568604480 |
j-invariant |
L |
14.048085972144 |
L(r)(E,1)/r! |
Ω |
0.51141864143863 |
Real period |
R |
2.2890714816596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970b1 |
Quadratic twists by: -3 |