Atkin-Lehner |
2+ 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384s |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.6522093416346E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1854219,-914746250] |
[a1,a2,a3,a4,a6] |
Generators |
[20542240074:2168320796915:1815848] |
Generators of the group modulo torsion |
j |
944450732945420068/62320619824281 |
j-invariant |
L |
8.2000813857085 |
L(r)(E,1)/r! |
Ω |
0.12991384515232 |
Real period |
R |
15.779844979991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044726 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37128be2 |
Quadratic twists by: -3 |