Cremona's table of elliptic curves

190 = 2 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5+ 19+	Signs for the Atkin-Lehner involutions
Class	190b	Isogeny class
Conductor	190	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-950 = -1 · 2 · 52 · 19	Discriminant
Eigenvalues	2+ -1 5+ -1  0 -3 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,2,2]	[a1,a2,a3,a4,a6]
Generators	[1:2:1]	Generators of the group modulo torsion
j	357911/950	j-invariant
L	0.91620656379368	L(r)(E,1)/r!
Ω	3.4751792754521	Real period
R	0.13182148188233	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1520h1 6080i1 1710q1 950d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 190b1

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
+	-1	+	-1	0	-3	-7	+	-5	-5	10	2	2	6	0	9	-7	-4	7	0	-9	-10	-2	-10	-18

---

Quadratic twists for elliptic curve 190b1

-4	8	-3	5	-7	-11	13	17	-19	-23
1520h1	6080i1	1710q1	950d1	9310k1	22990y1	32110bg1	54910j1	3610g1	100510f1

---

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