Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67240i |
Isogeny class |
Conductor |
67240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
779017095524000000 = 28 · 56 · 417 |
Discriminant |
Eigenvalues |
2- 2 5- 2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437620,103164900] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3450:1] |
Generators of the group modulo torsion |
j |
7622072656/640625 |
j-invariant |
L |
10.450338820836 |
L(r)(E,1)/r! |
Ω |
0.27674650925588 |
Real period |
R |
3.1467842927678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640f2 |
Quadratic twists by: 41 |