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	4350s	Isogeny class
Conductor	4350	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	547356672000000000 = 230 · 32 · 59 · 29	Discriminant
Eigenvalues	2- 3+ 5+ -2 -6  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-821088,-284494719]	[a1,a2,a3,a4,a6]
Generators	[-555:1077:1]	Generators of the group modulo torsion
j	3918075806073018169/35030827008000	j-invariant
L	4.3454321631151	L(r)(E,1)/r!
Ω	0.15868520329394	Real period
R	0.91279927657902	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	34800dh3 13050i3 870b3 126150z3	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 4350s3

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	-6	4	6	-4	0	-	2	-2	0	4	0	-6	-12	-4	-8	0	-2	-10	-18	0	10

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Quadratic twists for elliptic curve 4350s3

-4	-3	5	29
34800dh3	13050i3	870b3	126150z3

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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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