Cremona's table of elliptic curves

98 = 2 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Class	98a	Isogeny class
Conductor	98	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2951578112 = 29 · 78	Discriminant
Eigenvalues	2+  2  0 7-  0  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-133795,18781197]	[a1,a2,a3,a4,a6]
j	2251439055699625/25088	j-invariant
L	1.0019771957699	L(r)(E,1)/r!
Ω	1.0019771957699	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	784j6 3136k6 882i6 2450y6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 98a6

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

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Quadratic twists for elliptic curve 98a6

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
784j6	3136k6	882i6	2450y6	14a5	11858bk6	16562bo6	28322h6	35378p6	51842e6	82418p6	94178h6

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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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