Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cm |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
499936002048 = 217 · 34 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14113,649153] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:1116:1] |
Generators of the group modulo torsion |
j |
2371933903250/3814209 |
j-invariant |
L |
5.4517750101858 |
L(r)(E,1)/r! |
Ω |
0.9300082286068 |
Real period |
R |
1.4655179498651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bo2 10416i2 124992fn2 |
Quadratic twists by: -4 8 -3 |