Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560s |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-595548684787680000 = -1 · 28 · 33 · 54 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38081,37226619] |
[a1,a2,a3,a4,a6] |
j |
-173056/16875 |
j-invariant |
L |
1.4301816201719 |
L(r)(E,1)/r! |
Ω |
0.238363603377 |
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 |
20280c1 121680bp1 40560bc1 |
Quadratic twists by: -4 -3 13 |