Atkin-Lehner |
3- 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045o |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5.1522773592886E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6772410,6696852385] |
[a1,a2,a3,a4,a6] |
Generators |
[-12146:934819:8] |
Generators of the group modulo torsion |
j |
47122242164489316857761/706759582892818455 |
j-invariant |
L |
5.4680861880443 |
L(r)(E,1)/r! |
Ω |
0.16542707099586 |
Real period |
R |
2.0658975867458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015g5 |
Quadratic twists by: -3 |