Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560t |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-30119288160000 = -1 · 28 · 3 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3436,-276340] |
[a1,a2,a3,a4,a6] |
j |
-3631696/24375 |
j-invariant |
L |
4.436522369393 |
L(r)(E,1)/r! |
Ω |
0.27728264808757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280d1 121680bv1 3120k1 |
Quadratic twists by: -4 -3 13 |