Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960co |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
3040128288000 = 28 · 36 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -5 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4332,70756] |
[a1,a2,a3,a4,a6] |
Generators |
[152:-1710:1] [0:266:1] |
Generators of the group modulo torsion |
j |
369664/125 |
j-invariant |
L |
12.92164294475 |
L(r)(E,1)/r! |
Ω |
0.73674991482866 |
Real period |
R |
0.48718638302614 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440a1 129960bj1 |
Quadratic twists by: -3 -19 |