Cremona's table of elliptic curves

76608 = 2⁶ · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 19-	Signs for the Atkin-Lehner involutions
Class	76608cm	Isogeny class
Conductor	76608	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	-2.4284755676484E+19	Discriminant
Eigenvalues	2+ 3-  0 7- -4 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,675060,-103150672]	[a1,a2,a3,a4,a6]
Generators	[166:3672:1] [262:9576:1]	Generators of the group modulo torsion
j	1424207846251000/1016614442529	j-invariant
L	10.815693575913	L(r)(E,1)/r!
Ω	0.11984357957729	Real period
R	0.94008769720909	Regulator
r	2	Rank of the group of rational points
S	0.99999999999098	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	76608ba2 38304q2 25536s2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 76608cm2

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

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Quadratic twists for elliptic curve 76608cm2

-4	8	-3
76608ba2	38304q2	25536s2

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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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