Cremona's table of elliptic curves

103488 = 2⁶ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	103488dc	Isogeny class
Conductor	103488	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	916358746963968 = 215 · 32 · 710 · 11	Discriminant
Eigenvalues	2+ 3-  2 7- 11+  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-210177,-37128897]	[a1,a2,a3,a4,a6]
Generators	[629:8940:1]	Generators of the group modulo torsion
j	266344154504/237699	j-invariant
L	10.886202092637	L(r)(E,1)/r!
Ω	0.22298536156195	Real period
R	6.1025317947689	Regulator
r	1	Rank of the group of rational points
S	1.0000000021163	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	103488bw4 51744x4 14784o4	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 103488dc4

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
+	-	2	-	+	2	2	8	-4	-10	8	-6	10	-4	-8	2	12	2	4	-12	-14	0	-16	-2	-2

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Quadratic twists for elliptic curve 103488dc4

-4	8	-7
103488bw4	51744x4	14784o4

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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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