Cremona's table of elliptic curves

132 = 2² · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+	Signs for the Atkin-Lehner involutions
Class	132b	Isogeny class
Conductor	132	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	7527168 = 28 · 35 · 112	Discriminant
Eigenvalues	2- 3+  2  2 11+  6 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1292,18312]	[a1,a2,a3,a4,a6]
j	932410994128/29403	j-invariant
L	1.0944442173011	L(r)(E,1)/r!
Ω	2.1888884346022	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	528i2 2112q2 396a2 3300l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 132b2

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

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Quadratic twists for elliptic curve 132b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
528i2	2112q2	396a2	3300l2	6468m2	1452c2	22308b2	38148n2	47652h2	69828r2	111012g2	126852n2

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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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