Cremona's table of elliptic curves

4350 = 2 · 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	4350r	Isogeny class
Conductor	4350	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	40781250000 = 24 · 32 · 510 · 29	Discriminant
Eigenvalues	2- 3+ 5+  0  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-556813,-160155469]	[a1,a2,a3,a4,a6]
Generators	[975:14512:1]	Generators of the group modulo torsion
j	1221889220964658441/2610000	j-invariant
L	4.6652251059703	L(r)(E,1)/r!
Ω	0.17477214205765	Real period
R	3.3366481143999	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	34800de4 13050f3 870d3 126150v4	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350r3

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

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Quadratic twists for elliptic curve 4350r3

-4	-3	5	29
34800de4	13050f3	870d3	126150v4

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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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