Cremona's table of elliptic curves

6384 = 2⁴ · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	6384y	Isogeny class
Conductor	6384	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	627742703616 = 215 · 3 · 72 · 194	Discriminant
Eigenvalues	2- 3+  2 7-  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-100472,-12224400]	[a1,a2,a3,a4,a6]
j	27384399945278713/153257496	j-invariant
L	2.1452507646063	L(r)(E,1)/r!
Ω	0.26815634557578	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	798b3 25536df4 19152bz3 44688cx4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384y3

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
-	+	2	-	0	2	2	-	-8	2	-4	2	6	12	8	10	4	-10	-4	-8	10	4	0	6	-6

---

Quadratic twists for elliptic curve 6384y3

-4	8	-3	-7	-19
798b3	25536df4	19152bz3	44688cx4	121296df4

---

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