Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014z |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-443070937958809104 = -1 · 24 · 325 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 1 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-884181,-321679503] |
[a1,a2,a3,a4,a6] |
Generators |
[1212:19077:1] |
Generators of the group modulo torsion |
j |
-76444681828933004802769/443070937958809104 |
j-invariant |
L |
9.6911835664143 |
L(r)(E,1)/r! |
Ω |
0.077818666337219 |
Real period |
R |
0.62267731012111 |
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 |
84042v1 |
Quadratic twists by: -3 |