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	24336o	Isogeny class
Conductor	24336	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	159744	Modular degree for the optimal curve
Δ	-49324117344592896 = -1 · 210 · 310 · 138	Discriminant
Eigenvalues	2+ 3- -3  0  0 13+  1  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,72501,7597226]	[a1,a2,a3,a4,a6]
j	69212/81	j-invariant
L	0.95273731002072	L(r)(E,1)/r!
Ω	0.2381843275052	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	12168r1 97344fp1 8112c1 24336m1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336o1

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
+	-	-3	0	0	+	1	0	4	-3	-8	-5	-3	-4	-8	13	12	15	-12	8	3	4	12	-10	2

---

Quadratic twists for elliptic curve 24336o1

-4	8	-3	13
12168r1	97344fp1	8112c1	24336m1

---

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