Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16835a |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4736 |
Modular degree for the optimal curve |
Δ |
258905465 = 5 · 72 · 134 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-245,1320] |
[a1,a2,a3,a4,a6] |
Generators |
[46:47:8] |
Generators of the group modulo torsion |
j |
1630116669609/258905465 |
j-invariant |
L |
4.859432177814 |
L(r)(E,1)/r! |
Ω |
1.6720553382128 |
Real period |
R |
2.9062627693938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84175h1 117845m1 |
Quadratic twists by: 5 -7 |