Atkin-Lehner |
2- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28594l |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-6633808 = -1 · 24 · 17 · 293 |
Discriminant |
Eigenvalues |
2- -2 -2 -3 -2 3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-119,505] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-35:1] [-8:35:1] |
Generators of the group modulo torsion |
j |
-7645373/272 |
j-invariant |
L |
7.3327183724027 |
L(r)(E,1)/r! |
Ω |
2.3575709743439 |
Real period |
R |
0.38878566394191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28594c1 |
Quadratic twists by: 29 |