Cremona's table of elliptic curves

10450 = 2 · 5² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	10450bb	Isogeny class
Conductor	10450	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-88946118765625000 = -1 · 23 · 59 · 112 · 196	Discriminant
Eigenvalues	2-  2 5+  4 11- -2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,94037,-9054719]	[a1,a2,a3,a4,a6]
j	5885721311824151/5692551601000	j-invariant
L	6.6715111073924	L(r)(E,1)/r!
Ω	0.18531975298312	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	83600bi4 94050v4 2090e4 114950q4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10450bb4

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

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Quadratic twists for elliptic curve 10450bb4

-4	-3	5	-11
83600bi4	94050v4	2090e4	114950q4

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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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