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	34848bq	Isogeny class
Conductor	34848	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	186297408 = 26 · 37 · 113	Discriminant
Eigenvalues	2- 3-  0  4 11+ -2 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-165,-484]	[a1,a2,a3,a4,a6]
Generators	[-8:18:1]	Generators of the group modulo torsion
j	8000/3	j-invariant
L	6.6264824989862	L(r)(E,1)/r!
Ω	1.3744601123154	Real period
R	1.2052882509306	Regulator
r	1	Rank of the group of rational points
S	0.99999999999998	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848k1 69696v1 11616a1 34848j1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848bq1

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

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Quadratic twists for elliptic curve 34848bq1

-4	8	-3	-11
34848k1	69696v1	11616a1	34848j1

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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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