Cremona's table of elliptic curves

2772 = 2² · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	2772h	Isogeny class
Conductor	2772	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	33600	Modular degree for the optimal curve
Δ	-928309469764312944 = -1 · 24 · 311 · 75 · 117	Discriminant
Eigenvalues	2- 3-  3 7+ 11-  1  4  3	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,226419,20717993]	[a1,a2,a3,a4,a6]
j	110056273881297152/79587574568271	j-invariant
L	2.4878440610968	L(r)(E,1)/r!
Ω	0.1777031472212	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11088bs1 44352z1 924a1 69300ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2772h1

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
-	-	3	+	-	1	4	3	-2	-5	0	9	0	10	-5	6	-13	6	-1	0	-9	12	4	14	-2

---

Quadratic twists for elliptic curve 2772h1

-4	8	-3	5	-7	-11
11088bs1	44352z1	924a1	69300ca1	19404bb1	30492bh1

---

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