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	3850l	Isogeny class
Conductor	3850	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-673750 = -1 · 2 · 54 · 72 · 11	Discriminant
Eigenvalues	2+  0 5- 7- 11+  3 -2  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-92,366]	[a1,a2,a3,a4,a6]
Generators	[5:1:1]	Generators of the group modulo torsion
j	-138630825/1078	j-invariant
L	2.6497815071191	L(r)(E,1)/r!
Ω	2.8849254368721	Real period
R	0.45924609926698	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	30800cj1 123200dn1 34650ek1 3850m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850l1

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
+	0	-	-	+	3	-2	5	-7	3	-3	-8	0	11	-8	4	0	10	-8	1	-16	10	-15	-11	-15

---

Quadratic twists for elliptic curve 3850l1

-4	8	-3	5	-7	-11
30800cj1	123200dn1	34650ek1	3850m1	26950bg1	42350ct1

---

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