Cremona's table of elliptic curves

2233 = 7 · 11 · 29

Field	Data	Notes
Atkin-Lehner	7+ 11+ 29-	Signs for the Atkin-Lehner involutions
Class	2233a	Isogeny class
Conductor	2233	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	48569076788309 = 712 · 112 · 29	Discriminant
Eigenvalues	-1  0 -2 7+ 11+  6 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-21166,-1131504]	[a1,a2,a3,a4,a6]
j	1048626554636928177/48569076788309	j-invariant
L	0.39694962836734	L(r)(E,1)/r!
Ω	0.39694962836734	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	35728y3 20097h4 55825l3 15631c4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2233a3

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

---

Quadratic twists for elliptic curve 2233a3

-4	-3	5	-7	-11	29
35728y3	20097h4	55825l3	15631c4	24563g3	64757e3

---

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