Cremona's table of elliptic curves

110450 = 2 · 5² · 47²

Field	Data	Notes
Atkin-Lehner	2- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	110450u	Isogeny class
Conductor	110450	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	57176064	Modular degree for the optimal curve
Δ	-1.0519826447166E+27	Discriminant
Eigenvalues	2-  1 5+  2  4  4  7 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,180446537,1250894293417]	[a1,a2,a3,a4,a6]
Generators	[47597211453078:9163860483167461:1597509809]	Generators of the group modulo torsion
j	790625399/1280000	j-invariant
L	15.660710835771	L(r)(E,1)/r!
Ω	0.03355804520304	Real period
R	21.212513667827	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22090d1 110450v1	Quadratic twists by: 5 -47

Hecke Eigenvalues for elliptic curve 110450u1

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
-	1	+	2	4	4	7	-4	-4	4	-8	-10	-5	-7	-	-2	-3	-8	-5	0	11	-6	16	7	-10

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Quadratic twists for elliptic curve 110450u1

5	-47
22090d1	110450v1

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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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