Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bq |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
40061952 |
Modular degree for the optimal curve |
Δ |
-3.9422619516343E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16078944,-301058446911] |
[a1,a2,a3,a4,a6] |
Generators |
[7041:398073:1] |
Generators of the group modulo torsion |
j |
5870479694885951/503411103498240 |
j-invariant |
L |
6.7312776703157 |
L(r)(E,1)/r! |
Ω |
0.030737423025979 |
Real period |
R |
8.1108484622491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111090cm1 |
Quadratic twists by: -23 |