Cremona's table of elliptic curves

1452 = 2² · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	1452c	Isogeny class
Conductor	1452	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	13334837269248 = 28 · 35 · 118	Discriminant
Eigenvalues	2- 3+  2 -2 11- -6  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-156372,-23747832]	[a1,a2,a3,a4,a6]
Generators	[2798:146410:1]	Generators of the group modulo torsion
j	932410994128/29403	j-invariant
L	2.5165071871232	L(r)(E,1)/r!
Ω	0.24008244055593	Real period
R	3.4939486915356	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808be2 23232ce2 4356g2 36300bn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1452c2

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

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Quadratic twists for elliptic curve 1452c2

-4	8	-3	5	-7	-11
5808be2	23232ce2	4356g2	36300bn2	71148co2	132b2

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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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