Cremona's table of elliptic curves

1938 = 2 · 3 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+ 19+	Signs for the Atkin-Lehner involutions
Class	1938a	Isogeny class
Conductor	1938	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1877922 = -1 · 2 · 32 · 172 · 192	Discriminant
Eigenvalues	2+ 3+  2 -2 -4  4 17+ 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-9,63]	[a1,a2,a3,a4,a6]
Generators	[-1:9:1]	Generators of the group modulo torsion
j	-95443993/1877922	j-invariant
L	2.0453048278559	L(r)(E,1)/r!
Ω	2.2169130788551	Real period
R	0.46129567445923	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15504y2 62016bg2 5814q2 48450bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1938a2

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

---

Quadratic twists for elliptic curve 1938a2

-4	8	-3	5	-7	17	-19
15504y2	62016bg2	5814q2	48450bq2	94962y2	32946g2	36822z2

---

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