Atkin-Lehner |
2+ 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190n |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-6286685040 = -1 · 24 · 32 · 5 · 194 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-419,5006] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:88:1] [142:381:8] |
Generators of the group modulo torsion |
j |
-8107275964969/6286685040 |
j-invariant |
L |
7.1795604843619 |
L(r)(E,1)/r! |
Ω |
1.2304225703957 |
Real period |
R |
1.4587590997404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570ca1 |
Quadratic twists by: -3 |