Cremona's table of elliptic curves

798 = 2 · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 19+	Signs for the Atkin-Lehner involutions
Class	798d	Isogeny class
Conductor	798	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	4178071044 = 22 · 310 · 72 · 192	Discriminant
Eigenvalues	2+ 3- -2 7- -4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1142,14420]	[a1,a2,a3,a4,a6]
Generators	[-21:181:1]	Generators of the group modulo torsion
j	164503536215257/4178071044	j-invariant
L	1.8586019292251	L(r)(E,1)/r!
Ω	1.3827775711954	Real period
R	0.26882153253589	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6384t2 25536t2 2394m2 19950br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798d2

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

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Quadratic twists for elliptic curve 798d2

-4	8	-3	5	-7	-11	-19
6384t2	25536t2	2394m2	19950br2	5586j2	96558cu2	15162w2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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