Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
49350ca |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-154218750 = -1 · 2 · 3 · 57 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -1 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,-633] |
[a1,a2,a3,a4,a6] |
Generators |
[788:1031:64] |
Generators of the group modulo torsion |
j |
-1771561/9870 |
j-invariant |
L |
11.219172643546 |
L(r)(E,1)/r! |
Ω |
0.76075137159579 |
Real period |
R |
3.6868723023028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9870c1 |
Quadratic twists by: 5 |