Cremona's table of elliptic curves

202 = 2 · 101

Field	Data	Notes
Atkin-Lehner	2+ 101-	Signs for the Atkin-Lehner involutions
Class	202a	Isogeny class
Conductor	202	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	34	Modular degree for the optimal curve
Δ	-13238272 = -1 · 217 · 101	Discriminant
Eigenvalues	2+  0  2  1  4  0  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,4,-176]	[a1,a2,a3,a4,a6]
j	6128487/13238272	j-invariant
L	1.0396665953245	L(r)(E,1)/r!
Ω	1.0396665953245	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	1616f1 6464b1 1818l1 5050d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 202a1

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

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Quadratic twists for elliptic curve 202a1

-4	8	-3	5	-7	-11	13	17	-19	-23	101
1616f1	6464b1	1818l1	5050d1	9898a1	24442i1	34138i1	58378a1	72922d1	106858a1	20402d1

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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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