Cremona's table of elliptic curves

1771 = 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	7- 11+ 23+	Signs for the Atkin-Lehner involutions
Class	1771c	Isogeny class
Conductor	1771	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-86779 = -1 · 73 · 11 · 23	Discriminant
Eigenvalues	0 -2  3 7- 11+  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-19,29]	[a1,a2,a3,a4,a6]
j	-799178752/86779	j-invariant
L	1.1049203877997	L(r)(E,1)/r!
Ω	3.3147611633992	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	28336bg1 113344bv1 15939j1 44275c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1771c1

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	3	-	+	2	0	2	+	0	-10	2	3	-7	6	0	6	8	-4	-3	11	11	6	3	14

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Quadratic twists for elliptic curve 1771c1

-4	8	-3	5	-7	-11	-23
28336bg1	113344bv1	15939j1	44275c1	12397b1	19481a1	40733b1

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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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