Atkin-Lehner |
2+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594d |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-79763428052816 = -1 · 24 · 172 · 297 |
Discriminant |
Eigenvalues |
2+ -1 -3 -2 1 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6711,376789] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1623:1] [6:643:1] |
Generators of the group modulo torsion |
j |
56181887/134096 |
j-invariant |
L |
3.9157240709994 |
L(r)(E,1)/r! |
Ω |
0.42502264456792 |
Real period |
R |
0.57581109516242 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
986d1 |
Quadratic twists by: 29 |