Cremona's table of elliptic curves

10230 = 2 · 3 · 5 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+ 31+	Signs for the Atkin-Lehner involutions
Class	10230m	Isogeny class
Conductor	10230	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2461031100 = 22 · 38 · 52 · 112 · 31	Discriminant
Eigenvalues	2+ 3- 5+ -4 11+ -6 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-569,4592]	[a1,a2,a3,a4,a6]
Generators	[-24:79:1] [-15:106:1]	Generators of the group modulo torsion
j	20321832338569/2461031100	j-invariant
L	4.6668354688364	L(r)(E,1)/r!
Ω	1.3991726141752	Real period
R	0.2084640692988	Regulator
r	2	Rank of the group of rational points
S	0.99999999999955	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	81840bx2 30690bt2 51150bk2 112530cq2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10230m2

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	+	-6	-6	-6	-4	0	+	4	-6	-4	-6	4	0	0	-2	-16	-14	-4	-4	-10	-2

---

Quadratic twists for elliptic curve 10230m2

-4	-3	5	-11
81840bx2	30690bt2	51150bk2	112530cq2

---

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