Cremona's table of elliptic curves

24360 = 2³ · 3 · 5 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	24360f	Isogeny class
Conductor	24360	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	68835513600 = 28 · 32 · 52 · 72 · 293	Discriminant
Eigenvalues	2+ 3+ 5- 7+  0  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1170660,487912500]	[a1,a2,a3,a4,a6]
Generators	[4986:609:8]	Generators of the group modulo torsion
j	693068970969527826256/268888725	j-invariant
L	4.9731258913136	L(r)(E,1)/r!
Ω	0.66014837502233	Real period
R	0.62777880441719	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48720w2 73080ba2 121800bu2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 24360f2

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

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Quadratic twists for elliptic curve 24360f2

-4	-3	5
48720w2	73080ba2	121800bu2

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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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