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
deg	30	Modular degree for the optimal curve
Δ	-10392624 = -1 · 24 · 310 · 11	Discriminant
Eigenvalues	2- 3+  2  2 11+  6 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-77,330]	[a1,a2,a3,a4,a6]
j	-3196715008/649539	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	528i1 2112q1 396a1 3300l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 132b1

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 132b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
528i1	2112q1	396a1	3300l1	6468m1	1452c1	22308b1	38148n1	47652h1	69828r1	111012g1	126852n1

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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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