Cremona's table of elliptic curves

207 = 3² · 23

Field	Data	Notes
Atkin-Lehner	3- 23-	Signs for the Atkin-Lehner involutions
Class	207a	Isogeny class
Conductor	207	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1156923 = 37 · 232	Discriminant
Eigenvalues	-1 3-  0 -2 -4 -6 -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-140,668]	[a1,a2,a3,a4,a6]
Generators	[24:91:1]	Generators of the group modulo torsion
j	413493625/1587	j-invariant
L	0.97855712030454	L(r)(E,1)/r!
Ω	2.7562368184395	Real period
R	0.17751687985551	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	3312l2 13248p2 69a2 5175b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 207a2

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
-1	-	0	-2	-4	-6	-4	2	-	-2	4	2	-2	10	0	12	12	-6	-10	-8	-14	10	-12	16	-10

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Quadratic twists for elliptic curve 207a2

-4	8	-3	5	-7	-11	13	17	-19	-23
3312l2	13248p2	69a2	5175b2	10143s2	25047f2	34983h2	59823i2	74727r2	4761c2

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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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