Cremona's table of elliptic curves

2424 = 2³ · 3 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3+ 101-	Signs for the Atkin-Lehner involutions
Class	2424b	Isogeny class
Conductor	2424	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	13740938496 = 28 · 312 · 101	Discriminant
Eigenvalues	2+ 3+  3  2  2 -3  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-78249,-8398899]	[a1,a2,a3,a4,a6]
j	206978714469071872/53675541	j-invariant
L	2.2835965956296	L(r)(E,1)/r!
Ω	0.2854495744537	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	4848e1 19392q1 7272i1 60600bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2424b1

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	2	2	-3	3	5	3	-10	9	-2	10	4	-11	-4	8	-6	10	7	-2	-11	-12	2	-2

---

Quadratic twists for elliptic curve 2424b1

-4	8	-3	5	-7
4848e1	19392q1	7272i1	60600bh1	118776k1

---

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