Cremona's table of elliptic curves

29744 = 2⁴ · 11 · 13²

Field	Data	Notes
Atkin-Lehner	2- 11- 13-	Signs for the Atkin-Lehner involutions
Class	29744bh	Isogeny class
Conductor	29744	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	93600	Modular degree for the optimal curve
Δ	20530310786128 = 24 · 112 · 139	Discriminant
Eigenvalues	2-  0  0 -4 11- 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-87880,10024911]	[a1,a2,a3,a4,a6]
j	442368000/121	j-invariant
L	0.6669087816864	L(r)(E,1)/r!
Ω	0.66690878168764	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7436b1 118976co1 29744v1	Quadratic twists by: -4 8 13

Hecke Eigenvalues for elliptic curve 29744bh1

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	0	-4	-	-	2	4	-4	-6	-4	8	-12	12	4	6	-4	-10	4	-4	4	8	-12	-16	-8

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Quadratic twists for elliptic curve 29744bh1

-4	8	13
7436b1	118976co1	29744v1

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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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