Cremona's table of elliptic curves

34848 = 2⁵ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	34848bf	Isogeny class
Conductor	34848	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-720081212539392 = -1 · 29 · 38 · 118	Discriminant
Eigenvalues	2+ 3-  4  2 11- -4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-363,-1291070]	[a1,a2,a3,a4,a6]
Generators	[2144010:99264649:1000]	Generators of the group modulo torsion
j	-8/1089	j-invariant
L	8.0833231496378	L(r)(E,1)/r!
Ω	0.23201096570765	Real period
R	8.7100658421288	Regulator
r	1	Rank of the group of rational points
S	0.99999999999997	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848ck2 69696dp2 11616bf2 3168bb2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848bf2

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
+	-	4	2	-	-4	2	-4	-6	-6	4	-2	6	-8	-10	12	0	-8	4	-6	-10	6	-12	14	-18

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Quadratic twists for elliptic curve 34848bf2

-4	8	-3	-11
34848ck2	69696dp2	11616bf2	3168bb2

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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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