Cremona's table of elliptic curves

5700 = 2² · 3 · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	5700n	Isogeny class
Conductor	5700	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	913781250000 = 24 · 34 · 59 · 192	Discriminant
Eigenvalues	2- 3- 5+  2  4  0  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-84533,9431688]	[a1,a2,a3,a4,a6]
j	267219216891904/3655125	j-invariant
L	3.2276027514369	L(r)(E,1)/r!
Ω	0.80690068785921	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	22800bt1 91200e1 17100y1 1140a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5700n1

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	0	2	-	2	-6	0	8	-2	6	2	4	4	-10	12	8	2	-8	-14	-2	4

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Quadratic twists for elliptic curve 5700n1

-4	8	-3	5	-19
22800bt1	91200e1	17100y1	1140a1	108300s1

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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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