Cremona's table of elliptic curves

106560 = 2⁶ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 37+	Signs for the Atkin-Lehner involutions
Class	106560ee	Isogeny class
Conductor	106560	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	114688	Modular degree for the optimal curve
Δ	55931212800 = 210 · 310 · 52 · 37	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -6  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-11208,456568]	[a1,a2,a3,a4,a6]
Generators	[74:180:1]	Generators of the group modulo torsion
j	208583809024/74925	j-invariant
L	4.7272977964924	L(r)(E,1)/r!
Ω	1.0958584952987	Real period
R	1.0784462203509	Regulator
r	1	Rank of the group of rational points
S	0.99999999731671	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	106560bb1 26640o1 35520ct1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 106560ee1

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

---

Quadratic twists for elliptic curve 106560ee1

-4	8	-3
106560bb1	26640o1	35520ct1

---

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