Atkin-Lehner |
2- 3- 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014u |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1268715316413888 = -1 · 26 · 32 · 7 · 232 · 296 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64343,-6516951] |
[a1,a2,a3,a4,a6] |
Generators |
[816:21603:1] |
Generators of the group modulo torsion |
j |
-29459681838088944625/1268715316413888 |
j-invariant |
L |
10.329269352243 |
L(r)(E,1)/r! |
Ω |
0.14950351038365 |
Real period |
R |
1.9191800108046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84042g1 |
Quadratic twists by: -3 |