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	24336f	Isogeny class
Conductor	24336	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-308732438193933312 = -1 · 210 · 37 · 1310	Discriminant
Eigenvalues	2+ 3-  2  0  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,11661,-26728702]	[a1,a2,a3,a4,a6]
j	48668/85683	j-invariant
L	2.2772616275468	L(r)(E,1)/r!
Ω	0.14232885172168	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12168n4 97344fh3 8112b4 1872i4	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336f3

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	0	+	-2	-4	0	-6	0	2	6	12	4	-6	8	-2	4	12	14	0	-8	-18	6

---

Quadratic twists for elliptic curve 24336f3

-4	8	-3	13
12168n4	97344fh3	8112b4	1872i4

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations