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	34848m	Isogeny class
Conductor	34848	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-58326578215690752 = -1 · 29 · 312 · 118	Discriminant
Eigenvalues	2+ 3-  0  2 11- -4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-96195,16336694]	[a1,a2,a3,a4,a6]
Generators	[110:2662:1]	Generators of the group modulo torsion
j	-148877000/88209	j-invariant
L	5.7614816862339	L(r)(E,1)/r!
Ω	0.32607703620004	Real period
R	2.2086351715286	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	34848bs2 69696bk2 11616q2 3168w2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848m2

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

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Quadratic twists for elliptic curve 34848m2

-4	8	-3	-11
34848bs2	69696bk2	11616q2	3168w2

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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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