Cremona's table of elliptic curves

603 = 3² · 67

Field	Data	Notes
Atkin-Lehner	3+ 67-	Signs for the Atkin-Lehner involutions
Class	603a	Isogeny class
Conductor	603	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	28	Modular degree for the optimal curve
Δ	1809 = 33 · 67	Discriminant
Eigenvalues	1 3+ -2  4  4  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3,0]	[a1,a2,a3,a4,a6]
j	132651/67	j-invariant
L	1.884067043998	L(r)(E,1)/r!
Ω	3.7681340879959	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	9648f1 38592b1 603b1 15075b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 603a1

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
1	+	-2	4	4	2	0	4	6	-4	8	2	-6	4	-2	-10	6	-2	-	-6	-10	-8	2	-16	6

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Quadratic twists for elliptic curve 603a1

-4	8	-3	5	-7	-11	13	-67
9648f1	38592b1	603b1	15075b1	29547e1	72963d1	101907b1	40401d1

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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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