Cremona's table of elliptic curves

106722 = 2 · 3² · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	106722el	Isogeny class
Conductor	106722	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1140480	Modular degree for the optimal curve
Δ	-72773207542262304 = -1 · 25 · 39 · 72 · 119	Discriminant
Eigenvalues	2- 3+ -1 7- 11+ -6  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,47167,12353905]	[a1,a2,a3,a4,a6]
Generators	[-151:1406:1]	Generators of the group modulo torsion
j	5103/32	j-invariant
L	8.6791439566092	L(r)(E,1)/r!
Ω	0.25035105219312	Real period
R	1.7333947409765	Regulator
r	1	Rank of the group of rational points
S	1.0000000012927	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106722l1 106722dz1 106722m1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722el1

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
-	+	-1	-	+	-6	3	-2	3	-10	8	0	-11	2	-7	6	0	-7	9	16	10	15	-7	14	7

---

Quadratic twists for elliptic curve 106722el1

-3	-7	-11
106722l1	106722dz1	106722m1

---

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