Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bo |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-2168588747520 = -1 · 28 · 33 · 5 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3155,-20255] |
[a1,a2,a3,a4,a6] |
Generators |
[477:10478:1] |
Generators of the group modulo torsion |
j |
2809856/1755 |
j-invariant |
L |
5.6234927161353 |
L(r)(E,1)/r! |
Ω |
0.47428626113535 |
Real period |
R |
2.9641870200264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140k1 121680dh1 3120p1 |
Quadratic twists by: -4 -3 13 |