Cremona's table of elliptic curves

19350 = 2 · 3² · 5² · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 43-	Signs for the Atkin-Lehner involutions
Class	19350ct	Isogeny class
Conductor	19350	Conductor
∏ cp	30	Product of Tamagawa factors cp
deg	16800	Modular degree for the optimal curve
Δ	-26958420000 = -1 · 25 · 36 · 54 · 432	Discriminant
Eigenvalues	2- 3- 5-  0 -3  0  7 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,745,847]	[a1,a2,a3,a4,a6]
Generators	[29:200:1]	Generators of the group modulo torsion
j	100491975/59168	j-invariant
L	7.6150951622509	L(r)(E,1)/r!
Ω	0.72112462218127	Real period
R	0.35200088528465	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2150i1 19350j1	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 19350ct1

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	0	7	-7	-6	6	4	10	-5	-	-6	0	-8	-8	-7	-2	-7	12	-5	-1	-2

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Quadratic twists for elliptic curve 19350ct1

-3	5
2150i1	19350j1

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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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