Atkin-Lehner |
2- 3+ 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240bh |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
62055936000000 = 215 · 33 · 56 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32000067,-69674593726] |
[a1,a2,a3,a4,a6] |
Generators |
[6583:70350:1] |
Generators of the group modulo torsion |
j |
32768205824430944300763/561125000 |
j-invariant |
L |
5.6434126514518 |
L(r)(E,1)/r! |
Ω |
0.063476333433762 |
Real period |
R |
3.7044073135528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6030b2 48240bc4 |
Quadratic twists by: -4 -3 |