Cremona's table of elliptic curves

21420 = 2² · 3² · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 17-	Signs for the Atkin-Lehner involutions
Class	21420q	Isogeny class
Conductor	21420	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-115882112942265600 = -1 · 28 · 37 · 52 · 73 · 176	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-24303,16442998]	[a1,a2,a3,a4,a6]
Generators	[-277:1386:1]	Generators of the group modulo torsion
j	-8506205668816/620938962525	j-invariant
L	4.6506223344574	L(r)(E,1)/r!
Ω	0.2741298681505	Real period
R	2.8275055455979	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	85680dz4 7140o4 107100s4	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 21420q4

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	-4	-	-4	0	0	-4	2	6	-10	6	12	12	-4	14	-12	2	14	-6	6	2

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Quadratic twists for elliptic curve 21420q4

-4	-3	5
85680dz4	7140o4	107100s4

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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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