Atkin-Lehner |
2+ 3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40698o |
Isogeny class |
Conductor |
40698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-8.0773726620388E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1436283,4272657525] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-69045:1] |
Generators of the group modulo torsion |
j |
449485901393767859375/11080072238736418848 |
j-invariant |
L |
4.6450028762162 |
L(r)(E,1)/r! |
Ω |
0.098445164498485 |
Real period |
R |
1.4744892816336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13566s2 |
Quadratic twists by: -3 |