Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18768u |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-12867040512 = -1 · 28 · 35 · 17 · 233 |
Discriminant |
Eigenvalues |
2- 3- 2 2 3 -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,28,-5448] |
[a1,a2,a3,a4,a6] |
Generators |
[19:48:1] |
Generators of the group modulo torsion |
j |
9148592/50261877 |
j-invariant |
L |
7.5681714912254 |
L(r)(E,1)/r! |
Ω |
0.58410088258869 |
Real period |
R |
2.5913919039752 |
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 |
4692a1 75072bx1 56304by1 |
Quadratic twists by: -4 8 -3 |