Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bt |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7096320 |
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 |
[3817030:2486700:343] |
Generators of the group modulo torsion |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
6.9840462597811 |
L(r)(E,1)/r! |
Ω |
0.14652962794025 |
Real period |
R |
5.9578789268636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bq1 18600c1 11160e1 |
Quadratic twists by: -4 -3 5 |