Cremona's table of elliptic curves

10032 = 2⁴ · 3 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 19+	Signs for the Atkin-Lehner involutions
Class	10032q	Isogeny class
Conductor	10032	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-82642832968531968 = -1 · 214 · 33 · 11 · 198	Discriminant
Eigenvalues	2- 3- -2  0 11- -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,57936,-12727980]	[a1,a2,a3,a4,a6]
j	5250513632788943/20176472892708	j-invariant
L	2.0821252549331	L(r)(E,1)/r!
Ω	0.17351043791109	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1254g4 40128bi3 30096w3 110352ck3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 10032q4

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

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Quadratic twists for elliptic curve 10032q4

-4	8	-3	-11
1254g4	40128bi3	30096w3	110352ck3

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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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