Atkin-Lehner |
2- 3+ 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190y |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
6580224 |
Modular degree for the optimal curve |
Δ |
-9.2982840530043E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 6 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6772825,13010965085] |
[a1,a2,a3,a4,a6] |
Generators |
[4683:-386342:1] |
Generators of the group modulo torsion |
j |
34358426844688276373206799/92982840530042880000000 |
j-invariant |
L |
8.7471415503034 |
L(r)(E,1)/r! |
Ω |
0.075072570718019 |
Real period |
R |
0.52015987584245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570i1 |
Quadratic twists by: -3 |