Cremona's table of elliptic curves

52200 = 2³ · 3² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	52200co	Isogeny class
Conductor	52200	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	184320	Modular degree for the optimal curve
Δ	380538000000000 = 210 · 38 · 59 · 29	Discriminant
Eigenvalues	2- 3- 5- -4 -2  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-19875,-531250]	[a1,a2,a3,a4,a6]
Generators	[-29:144:1]	Generators of the group modulo torsion
j	595508/261	j-invariant
L	4.6067072231819	L(r)(E,1)/r!
Ω	0.41859308447392	Real period
R	2.7513039476746	Regulator
r	1	Rank of the group of rational points
S	1.0000000000114	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	104400ck1 17400f1 52200bi1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 52200co1

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
-	-	-	-4	-2	2	-2	4	-6	-	10	-2	4	-4	-8	0	0	0	-14	-8	14	10	-4	-12	10

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Quadratic twists for elliptic curve 52200co1

-4	-3	5
104400ck1	17400f1	52200bi1

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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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