Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720x |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-5777714154240000 = -1 · 211 · 33 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13400,3612500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-2100:1] |
Generators of the group modulo torsion |
j |
129919920001198/2821149489375 |
j-invariant |
L |
8.7486838826538 |
L(r)(E,1)/r! |
Ω |
0.31931464533267 |
Real period |
R |
0.28539913564715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360g3 |
Quadratic twists by: -4 |