Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960c |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3545856 |
Modular degree for the optimal curve |
Δ |
-8.3571867834001E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1111158,629841393] |
[a1,a2,a3,a4,a6] |
Generators |
[1444:45125:1] |
Generators of the group modulo torsion |
j |
-28366848/15625 |
j-invariant |
L |
3.3106690258856 |
L(r)(E,1)/r! |
Ω |
0.17838180024508 |
Real period |
R |
0.77331065161123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997507788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129960br1 129960bo1 |
Quadratic twists by: -3 -19 |