Cremona's table of elliptic curves

4488 = 2³ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	4488h	Isogeny class
Conductor	4488	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	44963748808704 = 211 · 36 · 116 · 17	Discriminant
Eigenvalues	2- 3- -2 -2 11+ -4 17-  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12704,-451104]	[a1,a2,a3,a4,a6]
j	110725946217794/21954955473	j-invariant
L	1.3677508678961	L(r)(E,1)/r!
Ω	0.45591695596538	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	8976g2 35904u2 13464i2 112200b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4488h2

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	-2	+	-4	-	6	-6	2	-4	6	6	-2	12	-4	-2	2	4	14	4	-10	-4	14	2

---

Quadratic twists for elliptic curve 4488h2

-4	8	-3	5	-11	17
8976g2	35904u2	13464i2	112200b2	49368p2	76296q2

---

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