Cremona's table of elliptic curves

41616 = 2⁴ · 3² · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Class	41616ch	Isogeny class
Conductor	41616	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2.4693511857916E+27	Discriminant
Eigenvalues	2- 3-  2  2  0 -6 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-877869579,-9721689886150]	[a1,a2,a3,a4,a6]
Generators	[-709968674285157205873315:-22313686700722545357022872:43201614623047114625]	Generators of the group modulo torsion
j	211293405175481/6973568802	j-invariant
L	7.0345553672717	L(r)(E,1)/r!
Ω	0.027792052431329	Real period
R	31.639240141815	Regulator
r	1	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5202j4 13872w4 41616cj4	Quadratic twists by: -4 -3 17

Hecke Eigenvalues for elliptic curve 41616ch4

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	0	-6	+	0	6	-6	-10	2	0	4	8	-6	0	10	-8	10	-16	6	16	-10	12

---

Quadratic twists for elliptic curve 41616ch4

-4	-3	17
5202j4	13872w4	41616cj4

---

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