Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540bc |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
40518315600 = 24 · 3 · 52 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13981,-640900] |
[a1,a2,a3,a4,a6] |
Generators |
[11524:105399:64] |
Generators of the group modulo torsion |
j |
160568836096/21525 |
j-invariant |
L |
8.3544184399268 |
L(r)(E,1)/r! |
Ω |
0.43905194015935 |
Real period |
R |
6.3427715151987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220d1 |
Quadratic twists by: -7 |