Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103600bm |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-15863750000 = -1 · 24 · 57 · 73 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,342,-5437] |
[a1,a2,a3,a4,a6] |
Generators |
[19:91:1] |
Generators of the group modulo torsion |
j |
17643776/63455 |
j-invariant |
L |
8.4286735764861 |
L(r)(E,1)/r! |
Ω |
0.63108965384269 |
Real period |
R |
2.2259577896085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999893354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25900a1 20720i1 |
Quadratic twists by: -4 5 |