Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728di |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
-12717637632 = -1 · 214 · 34 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,559,1713] |
[a1,a2,a3,a4,a6] |
Generators |
[47:360:1] |
Generators of the group modulo torsion |
j |
1176960944/776223 |
j-invariant |
L |
7.3583982699654 |
L(r)(E,1)/r! |
Ω |
0.79168348941855 |
Real period |
R |
2.3236553396642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728cp1 12432i1 |
Quadratic twists by: -4 8 |