Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050bg |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-2222899200 = -1 · 214 · 34 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,267,-1503] |
[a1,a2,a3,a4,a6] |
Generators |
[18:87:1] |
Generators of the group modulo torsion |
j |
84181337735/88915968 |
j-invariant |
L |
7.4478863940144 |
L(r)(E,1)/r! |
Ω |
0.79141711470754 |
Real period |
R |
0.16805041090226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80400ca1 30150u1 10050h1 |
Quadratic twists by: -4 -3 5 |