Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cs |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
258031484928 = 221 · 34 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-335978497,2370477608353] |
[a1,a2,a3,a4,a6] |
Generators |
[1462451283579:-591110240:138188413] |
Generators of the group modulo torsion |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
6.2157898806491 |
L(r)(E,1)/r! |
Ω |
0.24826022661955 |
Real period |
R |
12.518698555315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bt6 10416bl5 124992gd6 |
Quadratic twists by: -4 8 -3 |