Atkin-Lehner |
2- 3- 7- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526bf |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-43256130624 = -1 · 26 · 37 · 73 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,877,-525] |
[a1,a2,a3,a4,a6] |
Generators |
[5:60:1] |
Generators of the group modulo torsion |
j |
102437538839/59336256 |
j-invariant |
L |
10.414684554033 |
L(r)(E,1)/r! |
Ω |
0.67855990769126 |
Real period |
R |
0.21316967759018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886356 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37842e1 |
Quadratic twists by: -3 |