Atkin-Lehner |
2- 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
47988a |
Isogeny class |
Conductor |
47988 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-384999364106496 = -1 · 28 · 39 · 312 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 3 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18927,1376838] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2322:1] |
Generators of the group modulo torsion |
j |
-148811947632/76406227 |
j-invariant |
L |
7.7886124111293 |
L(r)(E,1)/r! |
Ω |
0.49781827133981 |
Real period |
R |
1.3037911053661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47988b1 |
Quadratic twists by: -3 |