Atkin-Lehner |
2+ 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990i |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-8830080 = -1 · 27 · 33 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -1 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21,133] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
36926037/327040 |
j-invariant |
L |
5.2352597718266 |
L(r)(E,1)/r! |
Ω |
1.6960723939197 |
Real period |
R |
1.5433479698739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990bj1 |
Quadratic twists by: -3 |