Cremona's table of elliptic curves

9800 = 2³ · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	9800l	Isogeny class
Conductor	9800	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	-128678593750000 = -1 · 24 · 510 · 77	Discriminant
Eigenvalues	2+ -2 5+ 7-  5  0 -8  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10208,-678287]	[a1,a2,a3,a4,a6]
j	-6400/7	j-invariant
L	0.91075845908692	L(r)(E,1)/r!
Ω	0.22768961477173	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	19600v1 78400cp1 88200hk1 9800bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9800l1

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	+	-	5	0	-8	2	-7	-3	-4	-1	2	3	-6	10	4	6	13	5	-6	-13	-16	0	12

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Quadratic twists for elliptic curve 9800l1

-4	8	-3	5	-7
19600v1	78400cp1	88200hk1	9800bq1	1400c1

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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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