Cremona's table of elliptic curves

14630 = 2 · 5 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11+ 19-	Signs for the Atkin-Lehner involutions
Class	14630y	Isogeny class
Conductor	14630	Conductor
∏ cp	288	Product of Tamagawa factors cp
Δ	2946781214546615600 = 24 · 52 · 76 · 113 · 196	Discriminant
Eigenvalues	2- -2 5- 7- 11+ -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-358645,-3634575]	[a1,a2,a3,a4,a6]
Generators	[-560:4935:1]	Generators of the group modulo torsion
j	5101737739775226985681/2946781214546615600	j-invariant
L	5.2232987512142	L(r)(E,1)/r!
Ω	0.2130869664892	Real period
R	0.3404516812283	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	117040ca4 73150c4 102410bh4	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 14630y4

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	-6	-	6	0	-4	-10	6	8	12	-6	0	8	8	-6	14	-16	12	6	-10

---

Quadratic twists for elliptic curve 14630y4

-4	5	-7
117040ca4	73150c4	102410bh4

---

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