Atkin-Lehner |
2- 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984bu |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-58381959168 = -1 · 217 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,933,3850] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:32:1] [-1:54:1] |
Generators of the group modulo torsion |
j |
30080231/19552 |
j-invariant |
L |
8.9903367491481 |
L(r)(E,1)/r! |
Ω |
0.69533246433005 |
Real period |
R |
1.6161939090318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998u1 9776c1 |
Quadratic twists by: -4 -3 |