Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20172i |
Isogeny class |
Conductor |
20172 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
19531660032 = 28 · 33 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 1 -5 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7284,236772] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:246:1] [27:246:1] |
Generators of the group modulo torsion |
j |
59090512/27 |
j-invariant |
L |
7.2134383204782 |
L(r)(E,1)/r! |
Ω |
1.200713855063 |
Real period |
R |
0.22250462182424 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80688u1 60516p1 20172c1 |
Quadratic twists by: -4 -3 41 |