Cremona's table of elliptic curves

24720 = 2⁴ · 3 · 5 · 103

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 103+	Signs for the Atkin-Lehner involutions
Class	24720f	Isogeny class
Conductor	24720	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	124472270315520 = 213 · 33 · 5 · 1034	Discriminant
Eigenvalues	2- 3+ 5+  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26576,-1569984]	[a1,a2,a3,a4,a6]
j	506814405937489/30388737870	j-invariant
L	1.5012780618697	L(r)(E,1)/r!
Ω	0.37531951546739	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3090k3 98880bu4 74160bj4 123600cb4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24720f4

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

---

Quadratic twists for elliptic curve 24720f4

-4	8	-3	5
3090k3	98880bu4	74160bj4	123600cb4

---

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