Atkin-Lehner |
2- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782bl |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-7542547038208 = -1 · 214 · 77 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -3 13- -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5326,200925] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:51:1] [-47:611:1] |
Generators of the group modulo torsion |
j |
-141991553313/64110592 |
j-invariant |
L |
12.197905391712 |
L(r)(E,1)/r! |
Ω |
0.69377810111942 |
Real period |
R |
0.3139616813882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826i1 |
Quadratic twists by: -7 |