Cremona's table of elliptic curves

1541 = 23 · 67

Field	Data	Notes
Atkin-Lehner	23+ 67-	Signs for the Atkin-Lehner involutions
Class	1541a	Isogeny class
Conductor	1541	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-815189 = -1 · 233 · 67	Discriminant
Eigenvalues	-1  1 -1  4  2  2 -6  7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,4,-43]	[a1,a2,a3,a4,a6]
j	6967871/815189	j-invariant
L	1.3381898337348	L(r)(E,1)/r!
Ω	1.3381898337348	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	24656f1 98624b1 13869b1 38525c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1541a1

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	1	-1	4	2	2	-6	7	+	10	5	2	0	-8	8	-11	-12	10	-	12	14	10	-5	-8	3

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Quadratic twists for elliptic curve 1541a1

-4	8	-3	5	-7	-23	-67
24656f1	98624b1	13869b1	38525c1	75509c1	35443a1	103247a1

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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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