Cremona's table of elliptic curves

8050 = 2 · 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	8050g	Isogeny class
Conductor	8050	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-28334994378906250 = -1 · 2 · 59 · 72 · 236	Discriminant
Eigenvalues	2+  2 5+ 7+  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-11025,-8115625]	[a1,a2,a3,a4,a6]
j	-9486391169809/1813439640250	j-invariant
L	1.9988931851145	L(r)(E,1)/r!
Ω	0.16657443209288	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	64400bt4 72450dg4 1610d4 56350r4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8050g4

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	+	+	0	-2	6	-4	-	6	2	10	-6	10	0	-6	-12	-10	-2	12	16	-10	12	-6	10

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Quadratic twists for elliptic curve 8050g4

-4	-3	5	-7
64400bt4	72450dg4	1610d4	56350r4

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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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