Cremona's table of elliptic curves

105966 = 2 · 3² · 7 · 29²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	105966bq	Isogeny class
Conductor	105966	Conductor
∏ cp	80	Product of Tamagawa factors cp
deg	6451200	Modular degree for the optimal curve
Δ	-1.9056232219165E+21	Discriminant
Eigenvalues	2- 3-  0 7+ -4 -4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1536665,2224958969]	[a1,a2,a3,a4,a6]
Generators	[-1457:37732:1]	Generators of the group modulo torsion
j	-925434168625/4394621952	j-invariant
L	7.7781753226359	L(r)(E,1)/r!
Ω	0.12852339277481	Real period
R	3.0259764805495	Regulator
r	1	Rank of the group of rational points
S	1.0000000061577	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35322m1 3654e1	Quadratic twists by: -3 29

Hecke Eigenvalues for elliptic curve 105966bq1

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

---

Quadratic twists for elliptic curve 105966bq1

-3	29
35322m1	3654e1

---

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