Cremona's table of elliptic curves

1410 = 2 · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 47+	Signs for the Atkin-Lehner involutions
Class	1410b	Isogeny class
Conductor	1410	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	33135000 = 23 · 3 · 54 · 472	Discriminant
Eigenvalues	2+ 3+ 5+ -4  2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-103,253]	[a1,a2,a3,a4,a6]
Generators	[-9:28:1]	Generators of the group modulo torsion
j	122689385209/33135000	j-invariant
L	1.5742922748942	L(r)(E,1)/r!
Ω	1.9365185148322	Real period
R	0.81294976672643	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	11280v2 45120bk2 4230bh2 7050bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1410b2

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
+	+	+	-4	2	4	-2	0	8	6	-6	-10	0	-8	+	-10	-4	10	-8	-8	-2	-4	-8	14	-2

---

Quadratic twists for elliptic curve 1410b2

-4	8	-3	5	-7	-47
11280v2	45120bk2	4230bh2	7050bg2	69090z2	66270h2

---

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