Cremona's table of elliptic curves

22050 = 2 · 3² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	22050bi	Isogeny class
Conductor	22050	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1261287296191125000 = 23 · 36 · 56 · 712	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0 -4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-391617,-77220459]	[a1,a2,a3,a4,a6]
Generators	[17390:764427:8]	Generators of the group modulo torsion
j	4956477625/941192	j-invariant
L	3.3677974467944	L(r)(E,1)/r!
Ω	0.19335917594617	Real period
R	4.354328454177	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	2450y4 882i4 3150l4	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 22050bi4

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

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Quadratic twists for elliptic curve 22050bi4

-3	5	-7
2450y4	882i4	3150l4

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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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