Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bm |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-2255332297420800 = -1 · 212 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -2 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82021,-9298355] |
[a1,a2,a3,a4,a6] |
j |
-18264064/675 |
j-invariant |
L |
0.28149882251826 |
L(r)(E,1)/r! |
Ω |
0.140749411282 |
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 |
2535g1 121680fl1 40560bw1 |
Quadratic twists by: -4 -3 13 |