Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160c |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
11016000 = 26 · 34 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2830,58900] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:270:1] [40:-90:1] |
Generators of the group modulo torsion |
j |
39179284145344/172125 |
j-invariant |
L |
4.6713302752394 |
L(r)(E,1)/r! |
Ω |
2.0046449607722 |
Real period |
R |
0.77675105677909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8160q1 16320y2 24480bc1 40800bv1 |
Quadratic twists by: -4 8 -3 5 |