Cremona's table of elliptic curves

22848 = 2⁶ · 3 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 17-	Signs for the Atkin-Lehner involutions
Class	22848bd	Isogeny class
Conductor	22848	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-10862423212032 = -1 · 215 · 34 · 72 · 174	Discriminant
Eigenvalues	2+ 3-  2 7+ -4  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1377,159327]	[a1,a2,a3,a4,a6]
Generators	[-46:357:1]	Generators of the group modulo torsion
j	-8818423496/331494849	j-invariant
L	7.0737850181075	L(r)(E,1)/r!
Ω	0.59917889748742	Real period
R	1.4757247476026	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	22848q3 11424m4 68544bg3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 22848bd3

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

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Quadratic twists for elliptic curve 22848bd3

-4	8	-3
22848q3	11424m4	68544bg3

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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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