Cremona's table of elliptic curves

3850 = 2 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	3850b	Isogeny class
Conductor	3850	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-4.6785179497455E+19	Discriminant
Eigenvalues	2+ -1 5+ 7+ 11+ -2 -3  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-168520,330093440]	[a1,a2,a3,a4,a6]
Generators	[-376:18640:1]	Generators of the group modulo torsion
j	-21171034581520602865/1871407179898211648	j-invariant
L	1.9977102482733	L(r)(E,1)/r!
Ω	0.16587936113775	Real period
R	6.0215756636969	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	30800bs2 123200r2 34650cy2 3850y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850b2

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	+	+	+	-2	-3	8	0	-6	11	7	6	7	-9	-3	-3	-10	-8	6	-5	-1	-6	0	10

---

Quadratic twists for elliptic curve 3850b2

-4	8	-3	5	-7	-11
30800bs2	123200r2	34650cy2	3850y2	26950h2	42350cj2

---

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