Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758i |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-694987776 = -1 · 210 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114,-1324] |
[a1,a2,a3,a4,a6] |
Generators |
[20:54:1] |
Generators of the group modulo torsion |
j |
-4609521/19456 |
j-invariant |
L |
4.2345369751527 |
L(r)(E,1)/r! |
Ω |
0.66467258184784 |
Real period |
R |
1.5927153800223 |
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 |
1862e1 16758f1 |
Quadratic twists by: -3 -7 |