Cremona's table of elliptic curves

1326 = 2 · 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 13- 17-	Signs for the Atkin-Lehner involutions
Class	1326b	Isogeny class
Conductor	1326	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5826444 = 22 · 3 · 134 · 17	Discriminant
Eigenvalues	2+ 3+ -2  0  0 13- 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1091,13425]	[a1,a2,a3,a4,a6]
Generators	[19:-7:1]	Generators of the group modulo torsion
j	143820170742457/5826444	j-invariant
L	1.5885817900738	L(r)(E,1)/r!
Ω	2.2501634486692	Real period
R	1.4119701313372	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	10608z3 42432r4 3978j3 33150bw4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1326b4

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

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Quadratic twists for elliptic curve 1326b4

-4	8	-3	5	-7	13	17
10608z3	42432r4	3978j3	33150bw4	64974r4	17238l4	22542m4

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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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