Cremona's table of elliptic curves

11845 = 5 · 23 · 103

Field	Data	Notes
Atkin-Lehner	5+ 23+ 103-	Signs for the Atkin-Lehner involutions
Class	11845a	Isogeny class
Conductor	11845	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	144118115 = 5 · 234 · 103	Discriminant
Eigenvalues	-1  0 5+  0  4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-2758,56426]	[a1,a2,a3,a4,a6]
j	2319310337999409/144118115	j-invariant
L	0.86996618329291	L(r)(E,1)/r!
Ω	1.7399323665858	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	106605h4 59225c4	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 11845a3

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
-1	0	+	0	4	-2	6	0	+	-2	-8	10	-6	-4	4	10	12	-10	12	0	14	4	-4	6	14

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Quadratic twists for elliptic curve 11845a3

-3	5
106605h4	59225c4

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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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