Atkin-Lehner |
2+ 3+ 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39360w |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-5313600 = -1 · 26 · 34 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,42] |
[a1,a2,a3,a4,a6] |
Generators |
[79:700:1] |
Generators of the group modulo torsion |
j |
107850176/83025 |
j-invariant |
L |
5.5796591860261 |
L(r)(E,1)/r! |
Ω |
1.5493628918069 |
Real period |
R |
3.601260373235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360bl1 19680bb2 118080bc1 |
Quadratic twists by: -4 8 -3 |