Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 71-	Signs for the Atkin-Lehner involutions
Class	14910bf	Isogeny class
Conductor	14910	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-805140 = -1 · 22 · 34 · 5 · 7 · 71	Discriminant
Eigenvalues	2- 3- 5+ 7- -1  2  2 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-256,1556]	[a1,a2,a3,a4,a6]
Generators	[8:2:1]	Generators of the group modulo torsion
j	-1855878893569/805140	j-invariant
L	8.5460980072235	L(r)(E,1)/r!
Ω	2.7829459582588	Real period
R	0.38386022112025	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	119280u1 44730t1 74550l1 104370cw1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910bf1

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	2	2	-7	2	-9	-6	-8	3	1	3	-6	-6	-15	-12	-	-11	4	0	8	2

---

Quadratic twists for elliptic curve 14910bf1

-4	-3	5	-7
119280u1	44730t1	74550l1	104370cw1

---

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