Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440fe |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-773601232435200000 = -1 · 214 · 319 · 55 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -1 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7008,-42316576] |
[a1,a2,a3,a4,a6] |
j |
3186827264/64769371875 |
j-invariant |
L |
1.3087013338076 |
L(r)(E,1)/r! |
Ω |
0.13087013338632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37440cf1 9360bq1 12480bo1 |
Quadratic twists by: -4 8 -3 |