Cremona's table of elliptic curves

912 = 2⁴ · 3 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19-	Signs for the Atkin-Lehner involutions
Class	912b	Isogeny class
Conductor	912	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7206230016 = 211 · 33 · 194	Discriminant
Eigenvalues	2+ 3+  2  0  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1272,-16560]	[a1,a2,a3,a4,a6]
j	111223479026/3518667	j-invariant
L	1.6018458057407	L(r)(E,1)/r!
Ω	0.80092290287037	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	456b3 3648bg3 2736j3 22800bb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912b3

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

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Quadratic twists for elliptic curve 912b3

-4	8	-3	5	-7	-11	-19
456b3	3648bg3	2736j3	22800bb4	44688bc4	110352g4	17328m3

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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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