Cremona's table of elliptic curves

494 = 2 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 13+ 19-	Signs for the Atkin-Lehner involutions
Class	494b	Isogeny class
Conductor	494	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	244036 = 22 · 132 · 192	Discriminant
Eigenvalues	2+  0  2  4  4 13+  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-16,12]	[a1,a2,a3,a4,a6]
j	469097433/244036	j-invariant
L	1.3738178096809	L(r)(E,1)/r!
Ω	2.7476356193618	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3952d2 15808h2 4446q2 12350s2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 494b2

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

---

Quadratic twists for elliptic curve 494b2

-4	8	-3	5	-7	-11	13	-19
3952d2	15808h2	4446q2	12350s2	24206e2	59774q2	6422e2	9386h2

---

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