Cremona's table of elliptic curves

10374 = 2 · 3 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	10374l	Isogeny class
Conductor	10374	Conductor
∏ cp	972	Product of Tamagawa factors cp
Δ	61261767229336128 = 26 · 33 · 73 · 133 · 196	Discriminant
Eigenvalues	2- 3-  0 7-  0 13-  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-405593,-98740359]	[a1,a2,a3,a4,a6]
j	7378959593078985444625/61261767229336128	j-invariant
L	5.1104386975183	L(r)(E,1)/r!
Ω	0.18927550731549	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	82992bq3 31122m3 72618bk3	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 10374l3

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	-	0	-	6	-	0	6	-4	2	-12	8	0	6	12	8	-4	-12	2	8	-6	12	-10

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Quadratic twists for elliptic curve 10374l3

-4	-3	-7
82992bq3	31122m3	72618bk3

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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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