Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
113288bb |
Isogeny class |
Conductor |
113288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
18923854096 = 24 · 72 · 176 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 1 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2023,34391] |
[a1,a2,a3,a4,a6] |
Generators |
[615:307:27] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
11.965010646081 |
L(r)(E,1)/r! |
Ω |
1.2219016201001 |
Real period |
R |
4.8960613603811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024541 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113288t1 392f1 |
Quadratic twists by: -7 17 |