Cremona's table of elliptic curves

26208 = 2⁵ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	26208k	Isogeny class
Conductor	26208	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-223867058688 = -1 · 29 · 37 · 7 · 134	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1509,3026]	[a1,a2,a3,a4,a6]
Generators	[14:164:1] [34:306:1]	Generators of the group modulo torsion
j	1018108216/599781	j-invariant
L	7.0404586417277	L(r)(E,1)/r!
Ω	0.60467848481242	Real period
R	11.643309326465	Regulator
r	2	Rank of the group of rational points
S	0.99999999999982	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	26208bq2 52416ca3 8736n4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26208k2

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

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Quadratic twists for elliptic curve 26208k2

-4	8	-3
26208bq2	52416ca3	8736n4

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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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