Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960l |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-5942888379306720000 = -1 · 28 · 37 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 0 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6564063,-6474086638] |
[a1,a2,a3,a4,a6] |
j |
-9868374736/1875 |
j-invariant |
L |
2.2636684943433 |
L(r)(E,1)/r! |
Ω |
0.047159742321983 |
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 |
43320u1 129960ci1 |
Quadratic twists by: -3 -19 |