Atkin-Lehner |
3- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118203h |
Isogeny class |
Conductor |
118203 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
119880 |
Modular degree for the optimal curve |
Δ |
-109162952763 = -1 · 3 · 316 · 41 |
Discriminant |
Eigenvalues |
0 3- -2 -4 -5 4 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,641,14833] |
[a1,a2,a3,a4,a6] |
Generators |
[79:751:1] |
Generators of the group modulo torsion |
j |
32768/123 |
j-invariant |
L |
3.453577469851 |
L(r)(E,1)/r! |
Ω |
0.75130964952151 |
Real period |
R |
4.5967431315418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123b1 |
Quadratic twists by: -31 |