Atkin-Lehner |
2+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28594f |
Isogeny class |
Conductor |
28594 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
647167773248 = 26 · 17 · 296 |
Discriminant |
Eigenvalues |
2+ 2 0 -4 -6 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2540,29456] |
[a1,a2,a3,a4,a6] |
j |
3048625/1088 |
j-invariant |
L |
0.83482372170748 |
L(r)(E,1)/r! |
Ω |
0.83482372170999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34a1 |
Quadratic twists by: 29 |