Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045bl |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
-3.1279325518752E+24 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25099232,-97886898286] |
[a1,a2,a3,a4,a6] |
Generators |
[27972:-4605899:1] |
Generators of the group modulo torsion |
j |
-2398708456982766177166009/4290716806413221559375 |
j-invariant |
L |
3.926157205766 |
L(r)(E,1)/r! |
Ω |
0.031819606295516 |
Real period |
R |
1.7626855455507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015o1 |
Quadratic twists by: -3 |