Cremona's table of elliptic curves

28314 = 2 · 3² · 11² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 13-	Signs for the Atkin-Lehner involutions
Class	28314bm	Isogeny class
Conductor	28314	Conductor
∏ cp	560	Product of Tamagawa factors cp
deg	7096320	Modular degree for the optimal curve
Δ	-6.8607000650829E+25	Discriminant
Eigenvalues	2- 3-  0  0 11+ 13-  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,51261385,-372647742321]	[a1,a2,a3,a4,a6]
j	8666286316805125/39912298463232	j-invariant
L	4.3602389112488	L(r)(E,1)/r!
Ω	0.031144563651781	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	9438a1 28314j1	Quadratic twists by: -3 -11

Hecke Eigenvalues for elliptic curve 28314bm1

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

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Quadratic twists for elliptic curve 28314bm1

-3	-11
9438a1	28314j1

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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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