Cremona's table of elliptic curves

27840 = 2⁶ · 3 · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 29+	Signs for the Atkin-Lehner involutions
Class	27840c	Isogeny class
Conductor	27840	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	14254080 = 215 · 3 · 5 · 29	Discriminant
Eigenvalues	2+ 3+ 5+  0  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-18561,979521]	[a1,a2,a3,a4,a6]
Generators	[88:141:1]	Generators of the group modulo torsion
j	21582477031688/435	j-invariant
L	4.9442315633795	L(r)(E,1)/r!
Ω	1.6032037640105	Real period
R	3.0839695329876	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	27840bh4 13920bg3 83520cv4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 27840c4

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
+	+	+	0	4	2	2	4	4	+	0	2	-10	-4	8	-6	0	6	-16	0	6	-16	-4	-10	-18

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Quadratic twists for elliptic curve 27840c4

-4	8	-3
27840bh4	13920bg3	83520cv4

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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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