Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cj |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-9.9375289156082E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907468,5730842608] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:16384:1] |
Generators of the group modulo torsion |
j |
-119305480789133569/5200091136000 |
j-invariant |
L |
1.6922247229057 |
L(r)(E,1)/r! |
Ω |
0.1548437378329 |
Real period |
R |
2.7321491007162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ew1 3870i1 41280bv1 |
Quadratic twists by: -4 8 -3 |