Cremona's table of elliptic curves

4356 = 2² · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	4356a	Isogeny class
Conductor	4356	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-836352 = -1 · 28 · 33 · 112	Discriminant
Eigenvalues	2- 3+  0  1 11- -2  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,0,-44]	[a1,a2,a3,a4,a6]
Generators	[5:9:1]	Generators of the group modulo torsion
j	0	j-invariant
L	3.78999122788	L(r)(E,1)/r!
Ω	1.2925765369648	Real period
R	1.4660606623649	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	17424bb1 69696e1 4356a2 108900g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4356a1

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	-	-2	0	1	0	0	-7	-1	0	-8	0	0	0	13	5	0	7	-17	0	0	-19

---

Quadratic twists for elliptic curve 4356a1

-4	8	-3	5	-11
17424bb1	69696e1	4356a2	108900g1	4356b1

---

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