Atkin-Lehner |
2- 3- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63024s |
Isogeny class |
Conductor |
63024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
133632 |
Modular degree for the optimal curve |
Δ |
32921380943568 = 24 · 32 · 133 · 1014 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10933,339014] |
[a1,a2,a3,a4,a6] |
j |
9033613312000000/2057586308973 |
j-invariant |
L |
1.8546458985767 |
L(r)(E,1)/r! |
Ω |
0.61821529998038 |
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 |
15756b1 |
Quadratic twists by: -4 |