Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520dd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
20379340800 = 212 · 37 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20523,-1131622] |
[a1,a2,a3,a4,a6] |
Generators |
[173:704:1] |
Generators of the group modulo torsion |
j |
320153881321/6825 |
j-invariant |
L |
6.6337366165158 |
L(r)(E,1)/r! |
Ω |
0.39887783037058 |
Real period |
R |
4.157749636155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4095h1 21840bp1 |
Quadratic twists by: -4 -3 |