Cremona's table of elliptic curves

101808 = 2⁴ · 3² · 7 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 101+	Signs for the Atkin-Lehner involutions
Class	101808o	Isogeny class
Conductor	101808	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1057536	Modular degree for the optimal curve
Δ	732161108927840256 = 230 · 39 · 73 · 101	Discriminant
Eigenvalues	2- 3+  2 7- -4  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-238059,-17432550]	[a1,a2,a3,a4,a6]
Generators	[-55005:181818:125]	Generators of the group modulo torsion
j	18506585011851/9081454592	j-invariant
L	8.1416044214704	L(r)(E,1)/r!
Ω	0.22719353758305	Real period
R	5.9725909696764	Regulator
r	1	Rank of the group of rational points
S	0.99999999948983	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12726f1 101808q1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 101808o1

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	-	-4	4	-6	2	2	2	0	-2	8	-4	-4	-2	-4	10	-2	-10	2	0	16	8	2

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Quadratic twists for elliptic curve 101808o1

-4	-3
12726f1	101808q1

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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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