Cremona's table of elliptic curves

123840 = 2⁶ · 3² · 5 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 43+	Signs for the Atkin-Lehner involutions
Class	123840ex	Isogeny class
Conductor	123840	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-4900072840888320 = -1 · 217 · 37 · 5 · 434	Discriminant
Eigenvalues	2- 3- 5+  4 -4  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,852,3367888]	[a1,a2,a3,a4,a6]
Generators	[48:1876:1]	Generators of the group modulo torsion
j	715822/51282015	j-invariant
L	6.57003294476	L(r)(E,1)/r!
Ω	0.34224816198413	Real period
R	4.7991733437151	Regulator
r	1	Rank of the group of rational points
S	0.99999998798197	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	123840ci3 30960p3 41280dj3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 123840ex3

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

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Quadratic twists for elliptic curve 123840ex3

-4	8	-3
123840ci3	30960p3	41280dj3

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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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