Cremona's table of elliptic curves

13552 = 2⁴ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Class	13552bc	Isogeny class
Conductor	13552	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	103680	Modular degree for the optimal curve
Δ	-516048891674624 = -1 · 221 · 75 · 114	Discriminant
Eigenvalues	2- -3  2 7- 11-  5  8  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16819,-1378190]	[a1,a2,a3,a4,a6]
j	-8773917273/8605184	j-invariant
L	2.0159388219891	L(r)(E,1)/r!
Ω	0.20159388219891	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1694b1 54208df1 121968fz1 94864dg1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13552bc1

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
-	-3	2	-	-	5	8	3	-1	-8	8	-2	-2	2	4	12	15	10	0	8	4	3	-3	6	16

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Quadratic twists for elliptic curve 13552bc1

-4	8	-3	-7	-11
1694b1	54208df1	121968fz1	94864dg1	13552u1

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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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