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	106722bn	Isogeny class
Conductor	106722	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	241920	Modular degree for the optimal curve
Δ	-54918791792172 = -1 · 22 · 39 · 78 · 112	Discriminant
Eigenvalues	2+ 3-  0 7+ 11-  1  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3537,-364743]	[a1,a2,a3,a4,a6]
Generators	[94:309:1]	Generators of the group modulo torsion
j	-9625/108	j-invariant
L	4.9613506013224	L(r)(E,1)/r!
Ω	0.26759877577847	Real period
R	4.6350647081593	Regulator
r	1	Rank of the group of rational points
S	1.0000000070732	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35574cj1 106722cl1 106722fm1	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for elliptic curve 106722bn1

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	+	-	1	0	4	-6	0	5	-7	6	7	6	-12	0	7	8	12	7	-8	6	-12	-7

---

Quadratic twists for elliptic curve 106722bn1

-3	-7	-11
35574cj1	106722cl1	106722fm1

---

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