Atkin-Lehner |
2- 3- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
111504q |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-9764691343958016 = -1 · 213 · 37 · 232 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 -6 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2600,4753716] |
[a1,a2,a3,a4,a6] |
Generators |
[1204:41814:1] |
Generators of the group modulo torsion |
j |
-474734543401/2383957847646 |
j-invariant |
L |
7.4731839004905 |
L(r)(E,1)/r! |
Ω |
0.3274553828754 |
Real period |
R |
0.27169037124841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13938b1 |
Quadratic twists by: -4 |