Atkin-Lehner |
2+ 3- 5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970p |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5799936 |
Modular degree for the optimal curve |
Δ |
-1.1975020221168E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1853910,-1104605964] |
[a1,a2,a3,a4,a6] |
Generators |
[23246:1062775:8] |
Generators of the group modulo torsion |
j |
-966634422732299921761/164266395352104960 |
j-invariant |
L |
4.1391293836709 |
L(r)(E,1)/r! |
Ω |
0.064095977659637 |
Real period |
R |
5.3814211076819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39990bb1 |
Quadratic twists by: -3 |