Cremona's table of elliptic curves

2254 = 2 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	2254d	Isogeny class
Conductor	2254	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3584	Modular degree for the optimal curve
Δ	-341552929648 = -1 · 24 · 79 · 232	Discriminant
Eigenvalues	2+  2 -2 7-  0  0  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10511,-420139]	[a1,a2,a3,a4,a6]
Generators	[1981:87088:1]	Generators of the group modulo torsion
j	-3183010111/8464	j-invariant
L	2.8536710998417	L(r)(E,1)/r!
Ω	0.23571325008138	Real period
R	6.0532683225412	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18032v1 72128v1 20286bz1 56350bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2254d1

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

---

Quadratic twists for elliptic curve 2254d1

-4	8	-3	5	-7	-23
18032v1	72128v1	20286bz1	56350bk1	2254e1	51842f1

---

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