Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560cp |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-29685811364801280 = -1 · 28 · 37 · 5 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -3 13- 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82021,-12293761] |
[a1,a2,a3,a4,a6] |
j |
-22478848/10935 |
j-invariant |
L |
3.8600335763595 |
L(r)(E,1)/r! |
Ω |
0.13785834201193 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140f1 121680ft1 40560dc1 |
Quadratic twists by: -4 -3 13 |