Cremona's table of elliptic curves

3230 = 2 · 5 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 17- 19+	Signs for the Atkin-Lehner involutions
Class	3230g	Isogeny class
Conductor	3230	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-47111064062500 = -1 · 22 · 58 · 174 · 192	Discriminant
Eigenvalues	2-  0 5-  4  0 -2 17- 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,3938,315249]	[a1,a2,a3,a4,a6]
j	6755449219466319/47111064062500	j-invariant
L	3.7054930701323	L(r)(E,1)/r!
Ω	0.46318663376654	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	25840bd3 103360o3 29070g3 16150a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3230g4

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

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Quadratic twists for elliptic curve 3230g4

-4	8	-3	5	17	-19
25840bd3	103360o3	29070g3	16150a4	54910r3	61370l3

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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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