Cremona's table of elliptic curves

3243 = 3 · 23 · 47

Field	Data	Notes
Atkin-Lehner	3+ 23- 47+	Signs for the Atkin-Lehner involutions
Class	3243b	Isogeny class
Conductor	3243	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	31551147 = 33 · 232 · 472	Discriminant
Eigenvalues	1 3+ -2  2  4 -2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-166,-851]	[a1,a2,a3,a4,a6]
j	510657175657/31551147	j-invariant
L	1.334164381378	L(r)(E,1)/r!
Ω	1.334164381378	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	51888t2 9729a2 81075s2 74589c2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 3243b2

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
1	+	-2	2	4	-2	0	-4	-	-4	6	-6	-8	4	+	-4	12	10	12	8	14	-2	16	0	-10

---

Quadratic twists for elliptic curve 3243b2

-4	-3	5	-23
51888t2	9729a2	81075s2	74589c2

---

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