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	34848j	Isogeny class
Conductor	34848	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7920893337933312 = 29 · 38 · 119	Discriminant
Eigenvalues	2+ 3-  0 -4 11+  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-139755,-19648222]	[a1,a2,a3,a4,a6]
j	343000/9	j-invariant
L	1.9785320076633	L(r)(E,1)/r!
Ω	0.24731650095911	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34848bp2 69696y2 11616p2 34848bq2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 34848j2

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 34848j2

-4	8	-3	-11
34848bp2	69696y2	11616p2	34848bq2

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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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