Atkin-Lehner |
2+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960g |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-2.1393508831383E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2069761,-1166830335] |
[a1,a2,a3,a4,a6] |
Generators |
[16803:2169780:1] |
Generators of the group modulo torsion |
j |
-3740628669743972161/81609759641200 |
j-invariant |
L |
8.5759479232252 |
L(r)(E,1)/r! |
Ω |
0.062853386241966 |
Real period |
R |
3.7901024890169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bc3 2030b3 |
Quadratic twists by: -4 8 |