Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960bb |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
336856320 = 28 · 36 · 5 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -1 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-988] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
19456/5 |
j-invariant |
L |
8.0796430888192 |
L(r)(E,1)/r! |
Ω |
1.2519387140477 |
Real period |
R |
0.80671311692469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440k1 129960ce1 |
Quadratic twists by: -3 -19 |