Cremona's table of elliptic curves

10830 = 2 · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	10830r	Isogeny class
Conductor	10830	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	27360	Modular degree for the optimal curve
Δ	-24456330779040 = -1 · 25 · 32 · 5 · 198	Discriminant
Eigenvalues	2- 3+ 5+  3  1  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,4144,-212911]	[a1,a2,a3,a4,a6]
j	463391/1440	j-invariant
L	3.4419920262231	L(r)(E,1)/r!
Ω	0.34419920262231	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86640dc1 32490s1 54150s1 10830m1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 10830r1

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
-	+	+	3	1	2	2	+	1	0	4	9	1	-10	0	3	12	-2	-2	8	-12	14	6	-5	8

---

Quadratic twists for elliptic curve 10830r1

-4	-3	5	-19
86640dc1	32490s1	54150s1	10830m1

---

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