Cremona's table of elliptic curves

34800 = 2⁴ · 3 · 5² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	34800cy	Isogeny class
Conductor	34800	Conductor
∏ cp	160	Product of Tamagawa factors cp
deg	921600	Modular degree for the optimal curve
Δ	3.507038208E+20	Discriminant
Eigenvalues	2- 3- 5+ -2 -2 -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1792008,201215988]	[a1,a2,a3,a4,a6]
Generators	[1548:33750:1]	Generators of the group modulo torsion
j	9944061759313921/5479747200000	j-invariant
L	5.9272297414624	L(r)(E,1)/r!
Ω	0.14802245401495	Real period
R	1.001069361555	Regulator
r	1	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4350a1 104400er1 6960x1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 34800cy1

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

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Quadratic twists for elliptic curve 34800cy1

-4	-3	5
4350a1	104400er1	6960x1

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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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