Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bk |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
2447550 = 2 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36,28] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
198259105/97902 |
j-invariant |
L |
5.4109959179769 |
L(r)(E,1)/r! |
Ω |
2.2865611441758 |
Real period |
R |
0.39440565816201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550eq1 38850cf1 |
Quadratic twists by: -3 5 |