Cremona's table of elliptic curves

1368 = 2³ · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19-	Signs for the Atkin-Lehner involutions
Class	1368c	Isogeny class
Conductor	1368	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-11520486144 = -1 · 28 · 38 · 193	Discriminant
Eigenvalues	2+ 3- -1 -3  5 -2  1 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,492,-3004]	[a1,a2,a3,a4,a6]
Generators	[46:-342:1]	Generators of the group modulo torsion
j	70575104/61731	j-invariant
L	2.5073961857602	L(r)(E,1)/r!
Ω	0.7010457385929	Real period
R	0.14902713948884	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	2736f1 10944p1 456d1 34200cq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1368c1

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	5	-2	1	-	-4	6	-10	0	0	-11	-9	-10	-4	-5	-4	-8	13	4	4	6	2

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Quadratic twists for elliptic curve 1368c1

-4	8	-3	5	-7	-19
2736f1	10944p1	456d1	34200cq1	67032s1	25992bb1

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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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