Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bh |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-323938440 = -1 · 23 · 37 · 5 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-253,-1792] |
[a1,a2,a3,a4,a6] |
Generators |
[22:47:1] |
Generators of the group modulo torsion |
j |
-3366353209/612360 |
j-invariant |
L |
7.8109280436605 |
L(r)(E,1)/r! |
Ω |
0.59295590240358 |
Real period |
R |
1.881837862985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090s1 |
Quadratic twists by: -23 |