Cremona's table of elliptic curves

3774 = 2 · 3 · 17 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 37+	Signs for the Atkin-Lehner involutions
Class	3774r	Isogeny class
Conductor	3774	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	74166648 = 23 · 3 · 174 · 37	Discriminant
Eigenvalues	2- 3-  2  4 -4  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-4742,125292]	[a1,a2,a3,a4,a6]
j	11792722663094113/74166648	j-invariant
L	5.1874521440761	L(r)(E,1)/r!
Ω	1.729150714692	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30192t4 120768s4 11322e3 94350e4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3774r4

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	4	-4	2	-	-8	4	10	0	+	-2	8	0	-6	12	2	4	-8	-14	8	8	-6	-2

---

Quadratic twists for elliptic curve 3774r4

-4	8	-3	5	17
30192t4	120768s4	11322e3	94350e4	64158bf4

---

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