Cremona's table of elliptic curves

603 = 3² · 67

Field	Data	Notes
Atkin-Lehner	3- 67+	Signs for the Atkin-Lehner involutions
Class	603c	Isogeny class
Conductor	603	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-11868849 = -1 · 311 · 67	Discriminant
Eigenvalues	-1 3-  3 -3  0  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7151,-230952]	[a1,a2,a3,a4,a6]
j	-55467626237353/16281	j-invariant
L	1.0383471924675	L(r)(E,1)/r!
Ω	0.25958679811688	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9648t1 38592bg1 201c1 15075j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 603c1

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	-	3	-3	0	4	-2	-2	7	8	-1	-3	9	9	0	-1	9	14	+	4	11	-16	-5	0	16

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Quadratic twists for elliptic curve 603c1

-4	8	-3	5	-7	-11	13	-67
9648t1	38592bg1	201c1	15075j1	29547r1	72963l1	101907j1	40401m1

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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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