Cremona's table of elliptic curves

3318 = 2 · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 79-	Signs for the Atkin-Lehner involutions
Class	3318f	Isogeny class
Conductor	3318	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	857612543078088 = 23 · 32 · 72 · 796	Discriminant
Eigenvalues	2+ 3-  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-72286,-7352536]	[a1,a2,a3,a4,a6]
j	41771267709404577625/857612543078088	j-invariant
L	1.74916211548	L(r)(E,1)/r!
Ω	0.29152701924667	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	26544h4 106176k4 9954k4 82950bq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3318f4

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

---

Quadratic twists for elliptic curve 3318f4

-4	8	-3	5	-7
26544h4	106176k4	9954k4	82950bq4	23226d4

---

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