Atkin-Lehner |
2+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594a |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-75071461696768 = -1 · 28 · 17 · 297 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 0 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-578,417044] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:453:1] |
Generators of the group modulo torsion |
j |
-35937/126208 |
j-invariant |
L |
2.5554486599751 |
L(r)(E,1)/r! |
Ω |
0.49186621619096 |
Real period |
R |
0.64942675870399 |
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 |
986f1 |
Quadratic twists by: 29 |