Cremona's table of elliptic curves

4816 = 2⁴ · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 7- 43+	Signs for the Atkin-Lehner involutions
Class	4816d	Isogeny class
Conductor	4816	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-32585697722368 = -1 · 220 · 75 · 432	Discriminant
Eigenvalues	2-  0 -4 7-  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1933,272690]	[a1,a2,a3,a4,a6]
Generators	[31:602:1]	Generators of the group modulo torsion
j	195011097399/7955492608	j-invariant
L	2.8694034683553	L(r)(E,1)/r!
Ω	0.49731626737441	Real period
R	0.57697760089458	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	602a1 19264s1 43344br1 120400bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4816d1

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	-	0	2	6	-4	0	2	-2	2	-2	+	6	-6	-6	12	0	8	4	-4	-18	-16	18

---

Quadratic twists for elliptic curve 4816d1

-4	8	-3	5	-7
602a1	19264s1	43344br1	120400bc1	33712j1

---

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