Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bl |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-43302380110479360 = -1 · 217 · 34 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 3 13+ -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13384856,18852612336] |
[a1,a2,a3,a4,a6] |
j |
-79370312059129/12960 |
j-invariant |
L |
2.2647688110988 |
L(r)(E,1)/r! |
Ω |
0.2830961013897 |
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 |
5070j1 121680fk1 40560bx1 |
Quadratic twists by: -4 -3 13 |