Cremona's table of elliptic curves

153 = 3² · 17

Field	Data	Notes
Atkin-Lehner	3- 17+	Signs for the Atkin-Lehner involutions
Class	153c	Isogeny class
Conductor	153	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	210681 = 36 · 172	Discriminant
Eigenvalues	1 3-  2  4  0 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-51,152]	[a1,a2,a3,a4,a6]
j	20346417/289	j-invariant
L	1.5852532189536	L(r)(E,1)/r!
Ω	3.1705064379072	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2448o2 9792m2 17a2 3825i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 153c2

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	-	2	4	0	-2	+	-4	-4	-6	4	-2	6	4	0	-6	12	-10	4	4	-6	12	4	-10	2

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Quadratic twists for elliptic curve 153c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
2448o2	9792m2	17a2	3825i2	7497o2	18513q2	25857i2	2601j2	55233g2	80937s2	128673p2

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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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