Atkin-Lehner |
3- 11+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94809q |
Isogeny class |
Conductor |
94809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
2707839849 = 3 · 11 · 136 · 17 |
Discriminant |
Eigenvalues |
1 3- -2 0 11+ 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2032,34985] |
[a1,a2,a3,a4,a6] |
Generators |
[39816:282221:512] |
Generators of the group modulo torsion |
j |
192100033/561 |
j-invariant |
L |
6.0880896057925 |
L(r)(E,1)/r! |
Ω |
1.4423330787278 |
Real period |
R |
8.4420023329128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
561d1 |
Quadratic twists by: 13 |