Cremona's table of elliptic curves

4650 = 2 · 3 · 5² · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	4650a	Isogeny class
Conductor	4650	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-799585347600937500 = -1 · 22 · 3 · 57 · 318	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 -6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-473000,-132592500]	[a1,a2,a3,a4,a6]
Generators	[9631195:299949990:6859]	Generators of the group modulo torsion
j	-749011598724977281/51173462246460	j-invariant
L	2.1358181581074	L(r)(E,1)/r!
Ω	0.090666364860678	Real period
R	11.778448167572	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	37200cz5 13950cf6 930o6	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4650a6

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	-4	-6	-2	4	8	6	+	2	10	4	0	10	-12	-2	4	0	-2	0	-4	-14	-18

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Quadratic twists for elliptic curve 4650a6

-4	-3	5
37200cz5	13950cf6	930o6

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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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