Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680bu |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.242583601425E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53387607,-150139469194] |
[a1,a2,a3,a4,a6] |
Generators |
[15065024553575815:4897968922814127264:141828313375] |
Generators of the group modulo torsion |
j |
18681746265374416/693005625 |
j-invariant |
L |
9.3359866027168 |
L(r)(E,1)/r! |
Ω |
0.055852215831018 |
Real period |
R |
20.894396007756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084453 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60840z2 40560e2 9360n2 |
Quadratic twists by: -4 -3 13 |