Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590l |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
468707342400000000 = 212 · 310 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195345,-4352675] |
[a1,a2,a3,a4,a6] |
j |
1130848257596386321/642945600000000 |
j-invariant |
L |
0.98145652869477 |
L(r)(E,1)/r! |
Ω |
0.24536413215644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530s1 |
Quadratic twists by: -3 |