Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768bb |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
2553365680128 = 212 · 313 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 -2 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8437,-291037] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:81:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
5.7769075839831 |
L(r)(E,1)/r! |
Ω |
0.49931566472549 |
Real period |
R |
0.88997309288213 |
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 |
1173b1 75072cl1 56304bb1 |
Quadratic twists by: -4 8 -3 |