Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bq |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14192640 |
Modular degree for the optimal curve |
Δ |
-1.37288925E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-368874075,-2726875529750] |
[a1,a2,a3,a4,a6] |
Generators |
[1331372190170845:157522352191128900:45004049693] |
Generators of the group modulo torsion |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
6.3512282270063 |
L(r)(E,1)/r! |
Ω |
0.01722463491511 |
Real period |
R |
23.045583615806 |
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 |
55800bt1 37200x1 22320j1 |
Quadratic twists by: -4 -3 5 |