Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
62040h |
Isogeny class |
Conductor |
62040 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
1989995040000 = 28 · 37 · 54 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-548116,156008720] |
[a1,a2,a3,a4,a6] |
Generators |
[416:396:1] |
Generators of the group modulo torsion |
j |
71138053589712648784/7773418125 |
j-invariant |
L |
5.2434080426579 |
L(r)(E,1)/r! |
Ω |
0.64053297369735 |
Real period |
R |
0.58471485666175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080d2 |
Quadratic twists by: -4 |