Cremona's table of elliptic curves

4606 = 2 · 7² · 47

Field	Data	Notes
Atkin-Lehner	2- 7+ 47+	Signs for the Atkin-Lehner involutions
Class	4606h	Isogeny class
Conductor	4606	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-1197037868446 = -1 · 2 · 78 · 473	Discriminant
Eigenvalues	2- -2 -3 7+  3 -1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3137,-85961]	[a1,a2,a3,a4,a6]
j	-592231633/207646	j-invariant
L	0.94029502970891	L(r)(E,1)/r!
Ω	0.31343167656964	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	36848h2 41454i2 115150c2 4606l2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4606h2

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	-3	+	3	-1	-3	-4	-6	3	2	-4	0	-4	+	-6	6	8	-4	0	-4	-1	-12	18	17

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Quadratic twists for elliptic curve 4606h2

-4	-3	5	-7
36848h2	41454i2	115150c2	4606l2

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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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