Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224br |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
210866643477504 = 210 · 36 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 -6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28812,1747928] |
[a1,a2,a3,a4,a6] |
Generators |
[254677:3082619:4913] |
Generators of the group modulo torsion |
j |
12544 |
j-invariant |
L |
5.7840097956486 |
L(r)(E,1)/r! |
Ω |
0.54949257548817 |
Real period |
R |
10.526092714738 |
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 |
28224fl1 3528w1 3136g1 28224ba1 |
Quadratic twists by: -4 8 -3 -7 |