Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520bw |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
298931618119680 = 216 · 33 · 5 · 7 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140643,-20284318] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:130:1] |
Generators of the group modulo torsion |
j |
2781982314427707/2703013040 |
j-invariant |
L |
4.6489444227222 |
L(r)(E,1)/r! |
Ω |
0.2465445222983 |
Real period |
R |
1.5713674413354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190b1 65520cg3 |
Quadratic twists by: -4 -3 |