Atkin-Lehner |
2+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614j |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-54591486385462936 = -1 · 23 · 73 · 138 · 293 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10036673235,-387020286080218] |
[a1,a2,a3,a4,a6] |
Generators |
[117442:7295832:1] |
Generators of the group modulo torsion |
j |
-137071210662988312156109833/66923416 |
j-invariant |
L |
2.1944669449613 |
L(r)(E,1)/r! |
Ω |
0.0075417496666131 |
Real period |
R |
10.776882971584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614s2 |
Quadratic twists by: 13 |