Cremona's table of elliptic curves

42432 = 2⁶ · 3 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 17-	Signs for the Atkin-Lehner involutions
Class	42432bl	Isogeny class
Conductor	42432	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1925571565420019712 = -1 · 218 · 34 · 13 · 178	Discriminant
Eigenvalues	2- 3+  2  0  4 13+ 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,248063,46778017]	[a1,a2,a3,a4,a6]
Generators	[103:8568:1]	Generators of the group modulo torsion
j	6439735268725823/7345472585373	j-invariant
L	6.2202732510202	L(r)(E,1)/r!
Ω	0.17515527319082	Real period
R	2.2195568029808	Regulator
r	1	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	42432s5 10608ba6 127296cg5	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 42432bl5

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	0	4	+	-	-4	0	2	8	2	2	-4	-8	10	4	-14	-4	0	-14	8	-4	-6	-6

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Quadratic twists for elliptic curve 42432bl5

-4	8	-3
42432s5	10608ba6	127296cg5

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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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