Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950ck |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-10548211394531250 = -1 · 2 · 36 · 59 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 11- 2 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,21987,-4770219] |
[a1,a2,a3,a4,a6] |
j |
601852914307/5400684234 |
j-invariant |
L |
4.0159928048986 |
L(r)(E,1)/r! |
Ω |
0.20079964024586 |
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 |
113850co1 37950br1 |
Quadratic twists by: -3 5 |