Cremona's table of elliptic curves

5550 = 2 · 3 · 5² · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 37+	Signs for the Atkin-Lehner involutions
Class	5550m	Isogeny class
Conductor	5550	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	390234375000000 = 26 · 33 · 514 · 37	Discriminant
Eigenvalues	2+ 3- 5+  0  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-8525126,9580034648]	[a1,a2,a3,a4,a6]
j	4385367890843575421521/24975000000	j-invariant
L	2.1844977383896	L(r)(E,1)/r!
Ω	0.36408295639826	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44400x4 16650bu3 1110k4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 5550m4

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

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Quadratic twists for elliptic curve 5550m4

-4	-3	5
44400x4	16650bu3	1110k4

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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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