Cremona's table of elliptic curves

606 = 2 · 3 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 101-	Signs for the Atkin-Lehner involutions
Class	606b	Isogeny class
Conductor	606	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-7272 = -1 · 23 · 32 · 101	Discriminant
Eigenvalues	2+ 3-  0 -3 -2 -6 -1 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,4,2]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	9938375/7272	j-invariant
L	1.7325801440151	L(r)(E,1)/r!
Ω	2.6663147092303	Real period
R	0.32490165883591	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4848j1 19392a1 1818k1 15150bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606b1

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	-3	-2	-6	-1	-5	4	3	-2	-2	-12	13	8	11	-10	-11	-8	6	-2	-14	-4	-8	-7

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Quadratic twists for elliptic curve 606b1

-4	8	-3	5	-7	-11	13	101
4848j1	19392a1	1818k1	15150bc1	29694b1	73326bh1	102414t1	61206i1

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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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