Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090s |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1112832 |
Modular degree for the optimal curve |
Δ |
-47954514946673160 = -1 · 23 · 37 · 5 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133584,21533062] |
[a1,a2,a3,a4,a6] |
Generators |
[44:3945:1] |
Generators of the group modulo torsion |
j |
-3366353209/612360 |
j-invariant |
L |
5.7009515461974 |
L(r)(E,1)/r! |
Ω |
0.34373137609107 |
Real period |
R |
0.78978499844391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999565723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090bh1 |
Quadratic twists by: -23 |