Cremona's table of elliptic curves

10230 = 2 · 3 · 5 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+ 31-	Signs for the Atkin-Lehner involutions
Class	10230n	Isogeny class
Conductor	10230	Conductor
∏ cp	432	Product of Tamagawa factors cp
Δ	3491347245809197500 = 22 · 318 · 54 · 112 · 313	Discriminant
Eigenvalues	2+ 3- 5+  2 11+ -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-748309,232308596]	[a1,a2,a3,a4,a6]
Generators	[-917:12608:1]	Generators of the group modulo torsion
j	46341040790466623149129/3491347245809197500	j-invariant
L	3.9650213147663	L(r)(E,1)/r!
Ω	0.24489759481984	Real period
R	1.3492106492114	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	81840bt2 30690bu2 51150bn2 112530cv2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230n2

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

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Quadratic twists for elliptic curve 10230n2

-4	-3	5	-11
81840bt2	30690bu2	51150bn2	112530cv2

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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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