Atkin-Lehner |
2+ 3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160o |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2477752320 = 215 · 3 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,-4095] |
[a1,a2,a3,a4,a6] |
Generators |
[27:12:1] |
Generators of the group modulo torsion |
j |
547343432/75615 |
j-invariant |
L |
5.9614296513779 |
L(r)(E,1)/r! |
Ω |
0.99700624057853 |
Real period |
R |
2.9896651637417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160bg2 34080bd2 |
Quadratic twists by: -4 8 |