Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
68160dn |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7433256960 = 215 · 32 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 6 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,-30337] |
[a1,a2,a3,a4,a6] |
Generators |
[77:540:1] |
Generators of the group modulo torsion |
j |
20525811272/226845 |
j-invariant |
L |
9.8876377965724 |
L(r)(E,1)/r! |
Ω |
0.73089337607427 |
Real period |
R |
3.3820383792588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160cn2 34080f2 |
Quadratic twists by: -4 8 |