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	24336bt	Isogeny class
Conductor	24336	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	21921829930930176 = 212 · 38 · 138	Discriminant
Eigenvalues	2- 3-  2 -4 -4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-110019,-12105470]	[a1,a2,a3,a4,a6]
Generators	[953:27360:1]	Generators of the group modulo torsion
j	10218313/1521	j-invariant
L	4.8218790454373	L(r)(E,1)/r!
Ω	0.26475199860285	Real period
R	4.5532036310239	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1521d2 97344fo2 8112bh2 1872q2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 24336bt2

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

---

Quadratic twists for elliptic curve 24336bt2

-4	8	-3	13
1521d2	97344fo2	8112bh2	1872q2

---

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