Cremona's table of elliptic curves

3927 = 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	3+ 7- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	3927d	Isogeny class
Conductor	3927	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2083708275110728497 = -1 · 320 · 74 · 114 · 17	Discriminant
Eigenvalues	-1 3+  2 7- 11+ -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,68838,69130584]	[a1,a2,a3,a4,a6]
Generators	[401:12504:1]	Generators of the group modulo torsion
j	36075142039228937567/2083708275110728497	j-invariant
L	2.2579223888122	L(r)(E,1)/r!
Ω	0.19882711972083	Real period
R	2.8390523284531	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	62832bq3 11781h4 98175t3 27489r3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3927d4

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

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Quadratic twists for elliptic curve 3927d4

-4	-3	5	-7	-11	17
62832bq3	11781h4	98175t3	27489r3	43197c3	66759h3

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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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