Atkin-Lehner |
2+ 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
54600l |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
216613769531250000 = 24 · 3 · 518 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-159783,10198812] |
[a1,a2,a3,a4,a6] |
Generators |
[-364:4472:1] |
Generators of the group modulo torsion |
j |
1804588288006144/866455078125 |
j-invariant |
L |
5.7409082367437 |
L(r)(E,1)/r! |
Ω |
0.28095082872623 |
Real period |
R |
5.1084635190423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200bs1 10920o1 |
Quadratic twists by: -4 5 |