Atkin-Lehner |
3+ 7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
38493a |
Isogeny class |
Conductor |
38493 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-8654274910827 = -1 · 33 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 0 7- 1 13+ -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-285,141550] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:-319:1] [-44:262:1] |
Generators of the group modulo torsion |
j |
-94818816000/320528700401 |
j-invariant |
L |
4.9300695493933 |
L(r)(E,1)/r! |
Ω |
0.58896894479716 |
Real period |
R |
0.23251884090299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38493b1 |
Quadratic twists by: -3 |