Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900bs |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
100386000 = 24 · 33 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-473,-4092] |
[a1,a2,a3,a4,a6] |
j |
5864013824/50193 |
j-invariant |
L |
3.072226959466 |
L(r)(E,1)/r! |
Ω |
1.0240756532129 |
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 |
128700bp1 42900p1 |
Quadratic twists by: -3 5 |