Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430bc |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-25224428801250 = -1 · 2 · 39 · 54 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19037,1044199] |
[a1,a2,a3,a4,a6] |
j |
-38762034328107/1281533750 |
j-invariant |
L |
5.3412167315136 |
L(r)(E,1)/r! |
Ω |
0.667652091437 |
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 |
38430a1 |
Quadratic twists by: -3 |