Cremona's table of elliptic curves

46800 = 2⁴ · 3² · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	46800di	Isogeny class
Conductor	46800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	92160	Modular degree for the optimal curve
Δ	-23692500000000 = -1 · 28 · 36 · 510 · 13	Discriminant
Eigenvalues	2- 3- 5+ -3  3 13+ -1 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,5625,-168750]	[a1,a2,a3,a4,a6]
Generators	[4530:35946:125]	Generators of the group modulo torsion
j	10800/13	j-invariant
L	4.8331491532152	L(r)(E,1)/r!
Ω	0.36200254015929	Real period
R	6.6755735347819	Regulator
r	1	Rank of the group of rational points
S	0.99999999999853	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11700k1 5200o1 46800fk1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 46800di1

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
-	-	+	-3	3	+	-1	-4	-2	-7	-5	-6	-4	6	13	9	5	13	-5	0	2	14	9	-4	2

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Quadratic twists for elliptic curve 46800di1

-4	-3	5
11700k1	5200o1	46800fk1

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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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