Cremona's table of elliptic curves

5225 = 5² · 11 · 19

Field	Data	Notes
Atkin-Lehner	5+ 11+ 19-	Signs for the Atkin-Lehner involutions
Class	5225b	Isogeny class
Conductor	5225	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-2.3942618131638E+23	Discriminant
Eigenvalues	-1  0 5+  0 11+ -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-23702980,-50264614478]	[a1,a2,a3,a4,a6]
j	-94256762600623910012361/15323275604248046875	j-invariant
L	0.81380938652164	L(r)(E,1)/r!
Ω	0.033908724438401	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	83600bq3 47025be3 1045b4 57475i3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5225b4

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	0	+	0	+	-2	6	-	8	-6	4	2	-10	-4	0	2	-8	14	-8	-4	-2	-16	4	10	-10

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Quadratic twists for elliptic curve 5225b4

-4	-3	5	-11	-19
83600bq3	47025be3	1045b4	57475i3	99275a3

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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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