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	106560eg	Isogeny class
Conductor	106560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3.4847780555981E+23	Discriminant
Eigenvalues	2- 3- 5+  1 -3 -2 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4241684748,-106329974681072]	[a1,a2,a3,a4,a6]
Generators	[13887228039407013204278845228729156933711206846:5939640526170940435267561887758621902315783869440:67405535451199496796116120388624315692863]	Generators of the group modulo torsion
j	-44164307457093068844199489/1823508000000000	j-invariant
L	5.3198166089929	L(r)(E,1)/r!
Ω	0.00935373283028	Real period
R	71.092160551287	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106560be2 26640bz2 35520cu2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 106560eg2

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	-3	-2	-3	2	0	-3	1	+	-9	11	0	-9	6	1	8	-12	8	4	6	6	-13

---

Quadratic twists for elliptic curve 106560eg2

-4	8	-3
106560be2	26640bz2	35520cu2

---

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