Cremona's table of elliptic curves

8848 = 2⁴ · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 7+ 79-	Signs for the Atkin-Lehner involutions
Class	8848c	Isogeny class
Conductor	8848	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	14923178934272 = 215 · 78 · 79	Discriminant
Eigenvalues	2-  0 -2 7+  4 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-54731,-4924806]	[a1,a2,a3,a4,a6]
Generators	[1827465:37611854:3375]	Generators of the group modulo torsion
j	4426535117697057/3643354232	j-invariant
L	3.5085345802486	L(r)(E,1)/r!
Ω	0.31214951706556	Real period
R	11.239916733595	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	1106e4 35392n4 79632v4 61936r4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 8848c3

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

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Quadratic twists for elliptic curve 8848c3

-4	8	-3	-7
1106e4	35392n4	79632v4	61936r4

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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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