Cremona's table of elliptic curves

10494 = 2 · 3² · 11 · 53

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 53-	Signs for the Atkin-Lehner involutions
Class	10494d	Isogeny class
Conductor	10494	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	-3442551368712192 = -1 · 218 · 36 · 112 · 533	Discriminant
Eigenvalues	2- 3-  0  2 11+  5 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,24385,2406503]	[a1,a2,a3,a4,a6]
j	2199789679916375/4722292686848	j-invariant
L	3.7067653062135	L(r)(E,1)/r!
Ω	0.30889710885113	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	83952r2 1166c2 115434t2	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 10494d2

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	+	5	-3	-7	-9	3	8	11	0	8	0	-	12	8	-4	9	8	11	-9	6	5

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Quadratic twists for elliptic curve 10494d2

-4	-3	-11
83952r2	1166c2	115434t2

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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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