Cremona's table of elliptic curves

294 = 2 · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	294c	Isogeny class
Conductor	294	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	109872137801538 = 2 · 34 · 714	Discriminant
Eigenvalues	2- 3-  2 7- -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-44787,3609423]	[a1,a2,a3,a4,a6]
j	84448510979617/933897762	j-invariant
L	2.3841798957004	L(r)(E,1)/r!
Ω	0.59604497392511	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	2352o5 9408p5 882e5 7350i5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 294c5

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	-	-4	-6	-2	4	8	-2	0	-10	6	-4	0	6	-4	-6	4	8	-10	0	4	6	14

---

Quadratic twists for elliptic curve 294c5

-4	8	-3	5	-7	-11	13	17	-19
2352o5	9408p5	882e5	7350i5	42a5	35574bg6	49686bk6	84966cz6	106134o6

---

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