Atkin-Lehner |
2- 3+ 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770q |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
122238520934400 = 214 · 35 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36271,-2620171] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:228:1] |
Generators of the group modulo torsion |
j |
5277193860610063729/122238520934400 |
j-invariant |
L |
6.4181683119134 |
L(r)(E,1)/r! |
Ω |
0.34643538807949 |
Real period |
R |
1.3233076339271 |
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 |
50310x1 83850r1 |
Quadratic twists by: -3 5 |