Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800h |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-32076000000000 = -1 · 211 · 36 · 59 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15075,762750] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1000:1] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
5.3958801538753 |
L(r)(E,1)/r! |
Ω |
0.64398949862423 |
Real period |
R |
2.0947081301025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39600h1 2200h1 3960o1 |
Quadratic twists by: -4 -3 5 |