Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
124002m |
Isogeny class |
Conductor |
124002 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5131392 |
Modular degree for the optimal curve |
Δ |
-2.0189547568894E+19 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 3 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4610033,-3814793115] |
[a1,a2,a3,a4,a6] |
j |
-2146689/4 |
j-invariant |
L |
6.593333967756 |
L(r)(E,1)/r! |
Ω |
0.051510416422114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124002b1 124002a1 |
Quadratic twists by: -3 -83 |