Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41760j |
Isogeny class |
Conductor |
41760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1017041080320 = -1 · 212 · 310 · 5 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2892,77056] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:324:1] |
Generators of the group modulo torsion |
j |
-895841344/340605 |
j-invariant |
L |
5.3777031526775 |
L(r)(E,1)/r! |
Ω |
0.82439167071273 |
Real period |
R |
0.81540476203907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41760i2 83520ev1 13920z2 |
Quadratic twists by: -4 8 -3 |