Cremona's table of elliptic curves

2898 = 2 · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23+	Signs for the Atkin-Lehner involutions
Class	2898p	Isogeny class
Conductor	2898	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	38400	Modular degree for the optimal curve
Δ	-236516873618930688 = -1 · 210 · 318 · 72 · 233	Discriminant
Eigenvalues	2- 3-  0 7- -6  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,41800,-23176645]	[a1,a2,a3,a4,a6]
j	11079872671250375/324440155855872	j-invariant
L	3.0234934137499	L(r)(E,1)/r!
Ω	0.15117467068749	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	23184bn1 92736bv1 966f1 72450bk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2898p1

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	6	2	+	6	8	8	-6	2	0	12	0	8	-10	0	14	8	-6	-6	-10

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Quadratic twists for elliptic curve 2898p1

-4	8	-3	5	-7	-23
23184bn1	92736bv1	966f1	72450bk1	20286by1	66654bl1

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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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