Cremona's table of elliptic curves

5390 = 2 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	5390d	Isogeny class
Conductor	5390	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	218748832825600 = 28 · 52 · 710 · 112	Discriminant
Eigenvalues	2+  0 5+ 7- 11+  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-64150,6229236]	[a1,a2,a3,a4,a6]
j	248158561089321/1859334400	j-invariant
L	1.1268893081649	L(r)(E,1)/r!
Ω	0.56344465408245	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	43120bq2 48510ek2 26950ce2 770e2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390d2

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

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Quadratic twists for elliptic curve 5390d2

-4	-3	5	-7	-11
43120bq2	48510ek2	26950ce2	770e2	59290cv2

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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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