Cremona's table of elliptic curves

6555 = 3 · 5 · 19 · 23

Field	Data	Notes
Atkin-Lehner	3+ 5- 19+ 23+	Signs for the Atkin-Lehner involutions
Class	6555d	Isogeny class
Conductor	6555	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	36288	Modular degree for the optimal curve
Δ	-19967411568531915 = -1 · 32 · 5 · 194 · 237	Discriminant
Eigenvalues	0 3+ 5- -1 -4  4  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,59335,3888371]	[a1,a2,a3,a4,a6]
j	23101981558964486144/19967411568531915	j-invariant
L	1.0000429270561	L(r)(E,1)/r!
Ω	0.25001073176404	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	104880df1 19665l1 32775v1 124545bh1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 6555d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
0	+	-	-1	-4	4	3	+	+	1	-1	1	7	-4	-10	-1	13	-6	11	-5	-4	-4	-15	12	-2

---

Quadratic twists for elliptic curve 6555d1

-4	-3	5	-19
104880df1	19665l1	32775v1	124545bh1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations