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	6384i	Isogeny class
Conductor	6384	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	163021824 = 210 · 32 · 72 · 192	Discriminant
Eigenvalues	2+ 3- -2 7+  0 -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1064,12996]	[a1,a2,a3,a4,a6]
Generators	[0:114:1]	Generators of the group modulo torsion
j	130213720228/159201	j-invariant
L	4.1499004057607	L(r)(E,1)/r!
Ω	1.8111542991865	Real period
R	1.1456507067412	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3192n2 25536br2 19152q2 44688f2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384i2

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

---

Quadratic twists for elliptic curve 6384i2

-4	8	-3	-7	-19
3192n2	25536br2	19152q2	44688f2	121296g2

---

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