Cremona's table of elliptic curves

154 = 2 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	154b	Isogeny class
Conductor	154	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	12004097336 = 23 · 7 · 118	Discriminant
Eigenvalues	2-  0  2 7+ 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-604,2343]	[a1,a2,a3,a4,a6]
j	24331017010833/12004097336	j-invariant
L	1.6895880356151	L(r)(E,1)/r!
Ω	1.1263920237434	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	1232j3 4928h4 1386c3 3850f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 154b4

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

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Quadratic twists for elliptic curve 154b4

-4	8	-3	5	-7	-11	13	17	-19	-23	29
1232j3	4928h4	1386c3	3850f4	1078i3	1694d3	26026g3	44506x3	55594b3	81466bl3	129514b3

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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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