Cremona's table of elliptic curves

4200 = 2³ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	4200k	Isogeny class
Conductor	4200	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	19448100000000 = 28 · 34 · 58 · 74	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-18508,939488]	[a1,a2,a3,a4,a6]
j	175293437776/4862025	j-invariant
L	2.7333355735464	L(r)(E,1)/r!
Ω	0.68333389338659	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	8400j2 33600m2 12600bw2 840g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4200k2

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

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Quadratic twists for elliptic curve 4200k2

-4	8	-3	5	-7
8400j2	33600m2	12600bw2	840g2	29400o2

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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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