Atkin-Lehner |
2- 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
20874bk |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-22453076352 = -1 · 27 · 3 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 0 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3627,-84687] |
[a1,a2,a3,a4,a6] |
Generators |
[116:971:1] |
Generators of the group modulo torsion |
j |
-44852393377/190848 |
j-invariant |
L |
10.661765147342 |
L(r)(E,1)/r! |
Ω |
0.30751865599174 |
Real period |
R |
2.4764502528329 |
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 |
62622q1 2982f1 |
Quadratic twists by: -3 -7 |