Cremona's table of elliptic curves

4848 = 2⁴ · 3 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 101-	Signs for the Atkin-Lehner involutions
Class	4848j	Isogeny class
Conductor	4848	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-29786112 = -1 · 215 · 32 · 101	Discriminant
Eigenvalues	2- 3+  0  3  2 -6 -1  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,72,-144]	[a1,a2,a3,a4,a6]
Generators	[12:48:1]	Generators of the group modulo torsion
j	9938375/7272	j-invariant
L	3.5189401356459	L(r)(E,1)/r!
Ω	1.1743638480627	Real period
R	0.37455812155779	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	606b1 19392bg1 14544p1 121200dq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4848j1

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	3	2	-6	-1	5	-4	3	2	-2	-12	-13	-8	11	10	-11	8	-6	-2	14	4	-8	-7

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Quadratic twists for elliptic curve 4848j1

-4	8	-3	5
606b1	19392bg1	14544p1	121200dq1

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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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