Cremona's table of elliptic curves

14790 = 2 · 3 · 5 · 17 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 17+ 29-	Signs for the Atkin-Lehner involutions
Class	14790bc	Isogeny class
Conductor	14790	Conductor
∏ cp	1584	Product of Tamagawa factors cp
Δ	243136383264000000 = 211 · 312 · 56 · 17 · 292	Discriminant
Eigenvalues	2- 3- 5- -2 -4  0 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-240740,38763792]	[a1,a2,a3,a4,a6]
Generators	[64:4828:1]	Generators of the group modulo torsion
j	1543009476957718685761/243136383264000000	j-invariant
L	8.5198793183573	L(r)(E,1)/r!
Ω	0.2989891914764	Real period
R	0.071958610467787	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	118320bt2 44370l2 73950n2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14790bc2

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
-	-	-	-2	-4	0	+	-2	6	-	2	-6	0	0	-8	-4	-8	-14	-2	-8	14	6	-6	14	-6

---

Quadratic twists for elliptic curve 14790bc2

-4	-3	5
118320bt2	44370l2	73950n2

---

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