Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160h |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
396361728000 = 224 · 33 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2988,55088] |
[a1,a2,a3,a4,a6] |
j |
416832723/56000 |
j-invariant |
L |
1.8259617805316 |
L(r)(E,1)/r! |
Ω |
0.91298089026581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cr1 630h1 20160t3 100800c1 |
Quadratic twists by: -4 8 -3 5 |