Cremona's table of elliptic curves

17424 = 2⁴ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	17424bn	Isogeny class
Conductor	17424	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-203233536 = -1 · 28 · 38 · 112	Discriminant
Eigenvalues	2- 3-  1  2 11-  3 -7  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,33,682]	[a1,a2,a3,a4,a6]
j	176/9	j-invariant
L	2.7099372422987	L(r)(E,1)/r!
Ω	1.3549686211494	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	4356e1 69696gb1 5808ba1 17424bo1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 17424bn1

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	-	3	-7	4	-2	3	0	9	9	-2	-12	13	-6	2	14	-6	-6	-16	8	-1	7

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Quadratic twists for elliptic curve 17424bn1

-4	8	-3	-11
4356e1	69696gb1	5808ba1	17424bo1

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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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