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	64	Product of Tamagawa factors cp
Δ	11903648120953281 = 310 · 78 · 112 · 172	Discriminant
Eigenvalues	-1 3+  2 7- 11+ -2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-135247,18354236]	[a1,a2,a3,a4,a6]
Generators	[2:4251:1]	Generators of the group modulo torsion
j	273594167224805799793/11903648120953281	j-invariant
L	2.2579223888122	L(r)(E,1)/r!
Ω	0.39765423944166	Real period
R	1.4195261642265	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	62832bq2 11781h2 98175t2 27489r2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3927d2

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 3927d2

-4	-3	5	-7	-11	17
62832bq2	11781h2	98175t2	27489r2	43197c2	66759h2

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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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