Cremona's table of elliptic curves

60840 = 2³ · 3² · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 13+	Signs for the Atkin-Lehner involutions
Class	60840z	Isogeny class
Conductor	60840	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	2064384	Modular degree for the optimal curve
Δ	7.8764598094134E+20	Discriminant
Eigenvalues	2+ 3- 5- -4  0 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3491202,2116794121]	[a1,a2,a3,a4,a6]
Generators	[-208:53235:1]	Generators of the group modulo torsion
j	83587439220736/13990184325	j-invariant
L	5.2869403236895	L(r)(E,1)/r!
Ω	0.152091214468	Real period
R	2.1726026146703	Regulator
r	1	Rank of the group of rational points
S	1.0000000000273	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	121680bu1 20280y1 4680q1	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 60840z1

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

---

Quadratic twists for elliptic curve 60840z1

-4	-3	13
121680bu1	20280y1	4680q1

---

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