Cremona's table of elliptic curves

33600 = 2⁶ · 3 · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+	Signs for the Atkin-Lehner involutions
Class	33600fi	Isogeny class
Conductor	33600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-1.0978063488E+19	Discriminant
Eigenvalues	2- 3+ 5- 7+  2  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1532833,748153537]	[a1,a2,a3,a4,a6]
Generators	[-747:38416:1]	Generators of the group modulo torsion
j	-3111705953492/85766121	j-invariant
L	5.0696170479709	L(r)(E,1)/r!
Ω	0.22678964278687	Real period
R	2.7942287099589	Regulator
r	1	Rank of the group of rational points
S	0.99999999999994	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	33600dp2 8400bb2 100800op2 33600hg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 33600fi2

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	0	2	8	-2	6	8	-10	0	-12	-2	0	-2	-4	-14	2	-4	-16	-6	-2

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Quadratic twists for elliptic curve 33600fi2

-4	8	-3	5
33600dp2	8400bb2	100800op2	33600hg2

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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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