Cremona's table of elliptic curves

8030 = 2 · 5 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 73-	Signs for the Atkin-Lehner involutions
Class	8030a	Isogeny class
Conductor	8030	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	9792	Modular degree for the optimal curve
Δ	-38416547840 = -1 · 217 · 5 · 11 · 732	Discriminant
Eigenvalues	2+  1 5+  3 11+  6  3  7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1779,30222]	[a1,a2,a3,a4,a6]
j	-622157846298409/38416547840	j-invariant
L	2.2703714782665	L(r)(E,1)/r!
Ω	1.1351857391332	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	64240o1 72270bn1 40150u1 88330v1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 8030a1

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	+	3	+	6	3	7	6	-1	1	11	0	-2	6	1	-12	-13	12	1	-	-10	12	1	-2

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Quadratic twists for elliptic curve 8030a1

-4	-3	5	-11
64240o1	72270bn1	40150u1	88330v1

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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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