Cremona's table of elliptic curves

26928 = 2⁴ · 3² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	26928i	Isogeny class
Conductor	26928	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	32778572881545216 = 211 · 312 · 116 · 17	Discriminant
Eigenvalues	2+ 3-  2  2 11+ -4 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-114339,-12065470]	[a1,a2,a3,a4,a6]
j	110725946217794/21954955473	j-invariant
L	2.1057902180379	L(r)(E,1)/r!
Ω	0.26322377725473	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	13464i2 107712eq2 8976g2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26928i2

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	2	+	-4	+	-6	-6	-2	4	6	-6	2	12	4	-2	2	-4	14	4	10	-4	-14	2

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Quadratic twists for elliptic curve 26928i2

-4	8	-3
13464i2	107712eq2	8976g2

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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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