Cremona's table of elliptic curves

3876 = 2² · 3 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	3876c	Isogeny class
Conductor	3876	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1319893721856 = 28 · 32 · 174 · 193	Discriminant
Eigenvalues	2- 3+  2  4  6 -6 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-36292,2672680]	[a1,a2,a3,a4,a6]
j	20650397701154128/5155834851	j-invariant
L	2.5108515094165	L(r)(E,1)/r!
Ω	0.83695050313883	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15504ba2 62016bj2 11628g2 96900be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3876c2

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	4	6	-6	+	+	6	8	0	2	-4	8	10	4	0	2	-12	-12	-10	-8	-18	-8	18

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Quadratic twists for elliptic curve 3876c2

-4	8	-3	5	17	-19
15504ba2	62016bj2	11628g2	96900be2	65892g2	73644l2

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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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