Cremona's table of elliptic curves

2774 = 2 · 19 · 73

Field	Data	Notes
Atkin-Lehner	2+ 19+ 73+	Signs for the Atkin-Lehner involutions
Class	2774a	Isogeny class
Conductor	2774	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	810008 = 23 · 19 · 732	Discriminant
Eigenvalues	2+  0  0  2  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-812,9112]	[a1,a2,a3,a4,a6]
Generators	[19:7:1]	Generators of the group modulo torsion
j	59250581321625/810008	j-invariant
L	2.497629342527	L(r)(E,1)/r!
Ω	2.5773662930038	Real period
R	1.9381252477048	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	22192b2 88768d2 24966j2 69350g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2774a2

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

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Quadratic twists for elliptic curve 2774a2

-4	8	-3	5	-19
22192b2	88768d2	24966j2	69350g2	52706d2

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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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