Atkin-Lehner |
2- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470h |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-17372145459200 = -1 · 213 · 52 · 77 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4656,-235264] |
[a1,a2,a3,a4,a6] |
Generators |
[256:3792:1] |
Generators of the group modulo torsion |
j |
-94881210481/147660800 |
j-invariant |
L |
9.6562202593107 |
L(r)(E,1)/r! |
Ω |
0.27398662644712 |
Real period |
R |
0.33887884575857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210l1 |
Quadratic twists by: -7 |