Cremona's table of elliptic curves

4818 = 2 · 3 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 73-	Signs for the Atkin-Lehner involutions
Class	4818d	Isogeny class
Conductor	4818	Conductor
∏ cp	448	Product of Tamagawa factors cp
Δ	-65523406557312 = -1 · 27 · 38 · 114 · 732	Discriminant
Eigenvalues	2- 3-  0 -2 11- -4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-14223,759033]	[a1,a2,a3,a4,a6]
Generators	[-66:1221:1]	Generators of the group modulo torsion
j	-318199322523552625/65523406557312	j-invariant
L	6.1133080510187	L(r)(E,1)/r!
Ω	0.59349967285928	Real period
R	0.09196821850873	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	38544h2 14454c2 120450j2 52998f2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4818d2

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

---

Quadratic twists for elliptic curve 4818d2

-4	-3	5	-11
38544h2	14454c2	120450j2	52998f2

---

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