Atkin-Lehner |
2+ 3+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150d |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1235520 |
Modular degree for the optimal curve |
Δ |
1.6387112198016E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 3 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-643925,40006125] |
[a1,a2,a3,a4,a6] |
Generators |
[1140382457:130777717105:31855013] |
Generators of the group modulo torsion |
j |
1889777177808124753/1048775180673024 |
j-invariant |
L |
3.472876492323 |
L(r)(E,1)/r! |
Ω |
0.19068193405781 |
Real period |
R |
18.212928820363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1806n1 |
Quadratic twists by: 5 |