Cremona's table of elliptic curves

3318 = 2 · 3 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 79-	Signs for the Atkin-Lehner involutions
Class	3318c	Isogeny class
Conductor	3318	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	4.3885568769242E+19	Discriminant
Eigenvalues	2+ 3+  0 7-  0  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1410710,-561242028]	[a1,a2,a3,a4,a6]
Generators	[-793:8114:1]	Generators of the group modulo torsion
j	310482715326109381707625/43885568769241514112	j-invariant
L	2.2593589976587	L(r)(E,1)/r!
Ω	0.13983171754729	Real period
R	1.1541214566893	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26544n2 106176y2 9954j2 82950cm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3318c2

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	-	0	0	-2	-2	8	0	-8	4	-6	-6	0	12	4	-10	0	-8	-6	-	-6	10	-2

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Quadratic twists for elliptic curve 3318c2

-4	8	-3	5	-7
26544n2	106176y2	9954j2	82950cm2	23226m2

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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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