Cremona's table of elliptic curves

4176 = 2⁴ · 3² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 29-	Signs for the Atkin-Lehner involutions
Class	4176d	Isogeny class
Conductor	4176	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	46503936 = 211 · 33 · 292	Discriminant
Eigenvalues	2+ 3+  2  4  0  2  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-99,-190]	[a1,a2,a3,a4,a6]
j	1940598/841	j-invariant
L	3.1488578783813	L(r)(E,1)/r!
Ω	1.5744289391907	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2088b2 16704bp2 4176b2 104400j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4176d2

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

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Quadratic twists for elliptic curve 4176d2

-4	8	-3	5	29
2088b2	16704bp2	4176b2	104400j2	121104c2

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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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