Cremona's table of elliptic curves

18480 = 2⁴ · 3 · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	18480da	Isogeny class
Conductor	18480	Conductor
∏ cp	3072	Product of Tamagawa factors cp
Δ	1.4632971942752E+25	Discriminant
Eigenvalues	2- 3- 5- 7+ 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-93225760,-293563545100]	[a1,a2,a3,a4,a6]
Generators	[-6865:151470:1]	Generators of the group modulo torsion
j	21876183941534093095979041/3572502915711058560000	j-invariant
L	6.4867699798272	L(r)(E,1)/r!
Ω	0.049124148772212	Real period
R	2.7510103406178	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	2310o3 73920dz3 55440cs3 92400ek3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18480da4

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	2	4	-8	6	-8	-2	2	-4	-8	-10	12	-2	4	-8	2	-16	4	-14	10

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Quadratic twists for elliptic curve 18480da4

-4	8	-3	5	-7
2310o3	73920dz3	55440cs3	92400ek3	129360ef3

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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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