Atkin-Lehner |
2- 3- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
83448q |
Isogeny class |
Conductor |
83448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
-2.1671450961885E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 4 -2 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2306523,1366771286] |
[a1,a2,a3,a4,a6] |
Generators |
[-1430:41724:1] |
Generators of the group modulo torsion |
j |
-908949176244494642/14515450157727 |
j-invariant |
L |
6.4153732710504 |
L(r)(E,1)/r! |
Ω |
0.2153721703877 |
Real period |
R |
2.482281896262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27816e1 |
Quadratic twists by: -3 |