Cremona's table of elliptic curves

24336 = 2⁴ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	24336bh	Isogeny class
Conductor	24336	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	533554153967952 = 24 · 312 · 137	Discriminant
Eigenvalues	2- 3-  0  2  0 13+  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20280,24167]	[a1,a2,a3,a4,a6]
Generators	[12493:1396278:1]	Generators of the group modulo torsion
j	16384000/9477	j-invariant
L	6.1442698962038	L(r)(E,1)/r!
Ω	0.44072058757829	Real period
R	3.4853544793345	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	6084f1 97344en1 8112t1 1872p1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bh1

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

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Quadratic twists for elliptic curve 24336bh1

-4	8	-3	13
6084f1	97344en1	8112t1	1872p1

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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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