Cremona's table of elliptic curves

3933 = 3² · 19 · 23

Field	Data	Notes
Atkin-Lehner	3- 19- 23+	Signs for the Atkin-Lehner involutions
Class	3933c	Isogeny class
Conductor	3933	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-696111379660611 = -1 · 312 · 195 · 232	Discriminant
Eigenvalues	0 3-  1  1  1  0 -5 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-12702,-1383827]	[a1,a2,a3,a4,a6]
Generators	[281:4151:1]	Generators of the group modulo torsion
j	-310894120566784/954885294459	j-invariant
L	3.2839237128615	L(r)(E,1)/r!
Ω	0.20763732918329	Real period
R	0.79078355654504	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	62928z1 1311b1 98325bq1 74727l1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 3933c1

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	-	1	1	1	0	-5	-	+	0	-2	-10	2	1	9	-2	6	5	8	-2	-7	-2	-4	4	-16

---

Quadratic twists for elliptic curve 3933c1

-4	-3	5	-19	-23
62928z1	1311b1	98325bq1	74727l1	90459j1

---

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