Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698j |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-888641811684 = -1 · 22 · 38 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 11- 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-761,45753] |
[a1,a2,a3,a4,a6] |
Generators |
[152:1787:1] |
Generators of the group modulo torsion |
j |
-403630251937/7344147204 |
j-invariant |
L |
3.1259166096538 |
L(r)(E,1)/r! |
Ω |
0.74723120859653 |
Real period |
R |
0.26145828206281 |
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 |
50094cc1 16698bg1 |
Quadratic twists by: -3 -11 |