Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bh |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-29557061447680 = -1 · 212 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1658,259861] |
[a1,a2,a3,a4,a6] |
Generators |
[-9793:153693:343] |
Generators of the group modulo torsion |
j |
104487111/6123520 |
j-invariant |
L |
10.074069221131 |
L(r)(E,1)/r! |
Ω |
0.50417519533414 |
Real period |
R |
6.660428963558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2990a1 |
Quadratic twists by: 13 |