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	5434b	Isogeny class
Conductor	5434	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	150144	Modular degree for the optimal curve
Δ	-2.5176987677412E+19	Discriminant
Eigenvalues	2+ -1  3 -3 11+ 13+ -5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-544351,-286891387]	[a1,a2,a3,a4,a6]
j	-17838652027865080874617/25176987677411508224	j-invariant
L	0.66876421679925	L(r)(E,1)/r!
Ω	0.083595527099906	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	43472p1 48906br1 59774s1 70642n1	Quadratic twists by: -4 -3 -11 13

Hecke Eigenvalues for elliptic curve 5434b1

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
+	-1	3	-3	+	+	-5	-	-4	0	0	-9	-4	3	7	2	14	4	-8	-3	-4	-10	0	-4	12

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Quadratic twists for elliptic curve 5434b1

-4	-3	-11	13	-19
43472p1	48906br1	59774s1	70642n1	103246p1

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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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