Atkin-Lehner |
5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
245c |
Isogeny class |
Conductor |
245 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1608482421875 = -1 · 59 · 77 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6435,210006] |
[a1,a2,a3,a4,a6] |
Generators |
[40:122:1] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
1.2247323721514 |
L(r)(E,1)/r! |
Ω |
0.8334283977788 |
Real period |
R |
0.040819755796108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3920bc3 15680j3 2205g3 1225a3 |
Quadratic twists by: -4 8 -3 5 |