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	32	Product of Tamagawa factors cp
Δ	775065600 = 212 · 32 · 52 · 292	Discriminant
Eigenvalues	2+ 3+ 5+  0  4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1161,15561]	[a1,a2,a3,a4,a6]
Generators	[1:120:1]	Generators of the group modulo torsion
j	42289683904/189225	j-invariant
L	4.9442315633795	L(r)(E,1)/r!
Ω	1.6032037640105	Real period
R	1.5419847664938	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	27840bh2 13920bg1 83520cv2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 27840c2

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 27840c2

-4	8	-3
27840bh2	13920bg1	83520cv2

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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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