Atkin-Lehner |
2- 3+ 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bj |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-6437128320 = -1 · 27 · 39 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 1 3 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,187,-3779] |
[a1,a2,a3,a4,a6] |
Generators |
[13:20:1] |
Generators of the group modulo torsion |
j |
36926037/327040 |
j-invariant |
L |
9.1616885131144 |
L(r)(E,1)/r! |
Ω |
0.66188456320943 |
Real period |
R |
0.98870159351145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990i1 |
Quadratic twists by: -3 |