Atkin-Lehner |
11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40931a |
Isogeny class |
Conductor |
40931 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-8297407811213411 = -1 · 115 · 616 |
Discriminant |
Eigenvalues |
2 -1 1 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-38450,-5243475] |
[a1,a2,a3,a4,a6] |
Generators |
[141636323065081942794720:-1946308821388512567940997:410318165198057472000] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
10.951214812904 |
L(r)(E,1)/r! |
Ω |
0.16250559930176 |
Real period |
R |
33.694884545388 |
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 |
11a1 |
Quadratic twists by: 61 |