Cremona's table of elliptic curves

17136 = 2⁴ · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 17+	Signs for the Atkin-Lehner involutions
Class	17136d	Isogeny class
Conductor	17136	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2468047905792 = -1 · 210 · 310 · 74 · 17	Discriminant
Eigenvalues	2+ 3-  2 7+ -4  6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1941,68042]	[a1,a2,a3,a4,a6]
j	1083360092/3306177	j-invariant
L	2.2974276191588	L(r)(E,1)/r!
Ω	0.5743569047897	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8568k4 68544dp3 5712b4 119952bm3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17136d4

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

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Quadratic twists for elliptic curve 17136d4

-4	8	-3	-7
8568k4	68544dp3	5712b4	119952bm3

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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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