Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960bw |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-6400270080000 = -1 · 211 · 36 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 -1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14763,701062] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:950:1] |
Generators of the group modulo torsion |
j |
-34747958/625 |
j-invariant |
L |
6.5856355096188 |
L(r)(E,1)/r! |
Ω |
0.75325950783869 |
Real period |
R |
2.1857126802277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000119166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440b1 129960k1 |
Quadratic twists by: -3 -19 |