Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
65520cg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3282271469568000 = 224 · 33 · 53 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56187,-4322134] |
[a1,a2,a3,a4,a6] |
j |
177381177331203/29679104000 |
j-invariant |
L |
3.7634369538702 |
L(r)(E,1)/r! |
Ω |
0.31361974579443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bf1 65520bw3 |
Quadratic twists by: -4 -3 |