Cremona's table of elliptic curves

101430 = 2 · 3² · 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 23-	Signs for the Atkin-Lehner involutions
Class	101430co	Isogeny class
Conductor	101430	Conductor
∏ cp	1024	Product of Tamagawa factors cp
Δ	3.3751233375133E+20	Discriminant
Eigenvalues	2+ 3- 5- 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3122289,1931606473]	[a1,a2,a3,a4,a6]
Generators	[2207:-77176:1]	Generators of the group modulo torsion
j	39248884582600321/3935264062500	j-invariant
L	4.3392110726667	L(r)(E,1)/r!
Ω	0.16606005600911	Real period
R	0.40828706565604	Regulator
r	1	Rank of the group of rational points
S	1.0000000002917	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	33810ca3 2070f4	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 101430co3

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	-6	-4	-	2	0	-2	10	-4	0	-6	-4	10	-12	8	-10	-8	-4	18	-2

---

Quadratic twists for elliptic curve 101430co3

-3	-7
33810ca3	2070f4

---

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