Cremona's table of elliptic curves

5434 = 2 · 11 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 11+ 13- 19+	Signs for the Atkin-Lehner involutions
Class	5434d	Isogeny class
Conductor	5434	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	23520	Modular degree for the optimal curve
Δ	-494579411264224 = -1 · 25 · 117 · 133 · 192	Discriminant
Eigenvalues	2+  0  3  3 11+ 13- -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,19747,59237]	[a1,a2,a3,a4,a6]
j	851558953435614423/494579411264224	j-invariant
L	1.8912568669658	L(r)(E,1)/r!
Ω	0.31520947782763	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	43472x1 48906bt1 59774l1 70642p1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 5434d1

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	3	3	+	-	-2	+	-1	-3	-4	6	5	-5	6	-4	13	15	9	8	-3	-10	12	12	2

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Quadratic twists for elliptic curve 5434d1

-4	-3	-11	13	-19
43472x1	48906bt1	59774l1	70642p1	103246k1

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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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