Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112800y |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-159048000000000 = -1 · 212 · 32 · 59 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11967,342063] |
[a1,a2,a3,a4,a6] |
Generators |
[27:828:1] |
Generators of the group modulo torsion |
j |
2961169856/2485125 |
j-invariant |
L |
9.4525096014063 |
L(r)(E,1)/r! |
Ω |
0.37281763271701 |
Real period |
R |
3.1692806156267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112800c2 22560j2 |
Quadratic twists by: -4 5 |