Atkin-Lehner |
2+ 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16898c |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-601929951085568 = -1 · 210 · 73 · 176 · 71 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- -5 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12481,-1301899] |
[a1,a2,a3,a4,a6] |
Generators |
[194:1807:1] |
Generators of the group modulo torsion |
j |
-215043455486335897/601929951085568 |
j-invariant |
L |
1.6925412693115 |
L(r)(E,1)/r! |
Ω |
0.20937763260666 |
Real period |
R |
0.22454659876194 |
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 |
118286a1 |
Quadratic twists by: -7 |