Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800bd |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3525000000000000 = -1 · 212 · 3 · 514 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2033,2856063] |
[a1,a2,a3,a4,a6] |
Generators |
[52512369:-8118686016:2197] |
Generators of the group modulo torsion |
j |
-14526784/55078125 |
j-invariant |
L |
10.362965047621 |
L(r)(E,1)/r! |
Ω |
0.35680010421421 |
Real period |
R |
14.522087944627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800bp2 22560m2 |
Quadratic twists by: -4 5 |