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	190a	Isogeny class
Conductor	190	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	88	Modular degree for the optimal curve
Δ	-972800 = -1 · 211 · 52 · 19	Discriminant
Eigenvalues	2- -3 5+ -5 -4 -1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-48,147]	[a1,a2,a3,a4,a6]
Generators	[13:-47:1]	Generators of the group modulo torsion
j	-11993263569/972800	j-invariant
L	1.2342342404078	L(r)(E,1)/r!
Ω	2.7276120737372	Real period
R	0.020568011456741	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	1520g1 6080h1 1710k1 950c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 190a1

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	+	-5	-4	-1	-3	-	7	-3	-2	-2	-6	6	0	-13	-9	-12	-3	0	11	-2	-10	2	-2

---

Quadratic twists for elliptic curve 190a1

-4	8	-3	5	-7	-11	13	17	-19	-23
1520g1	6080h1	1710k1	950c1	9310s1	22990f1	32110q1	54910bh1	3610c1	100510o1

---

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