Cremona's table of elliptic curves

23940 = 2² · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7- 19-	Signs for the Atkin-Lehner involutions
Class	23940f	Isogeny class
Conductor	23940	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1209651045120 = -1 · 28 · 39 · 5 · 7 · 193	Discriminant
Eigenvalues	2- 3+ 5- 7- -6  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7992,-280044]	[a1,a2,a3,a4,a6]
Generators	[165:1701:1]	Generators of the group modulo torsion
j	-11203633152/240065	j-invariant
L	5.6447224353969	L(r)(E,1)/r!
Ω	0.25214755652047	Real period
R	3.7310973207459	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	95760cp2 23940c1 119700f2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23940f2

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
-	+	-	-	-6	2	0	-	3	-9	5	11	0	-10	6	-12	6	-4	5	-9	-7	8	-12	-12	2

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Quadratic twists for elliptic curve 23940f2

-4	-3	5
95760cp2	23940c1	119700f2

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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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