Cremona's table of elliptic curves

11088 = 2⁴ · 3² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	11088be	Isogeny class
Conductor	11088	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-125505072 = -1 · 24 · 33 · 74 · 112	Discriminant
Eigenvalues	2- 3+  4 7- 11-  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,72,-485]	[a1,a2,a3,a4,a6]
j	95551488/290521	j-invariant
L	3.8023327695561	L(r)(E,1)/r!
Ω	0.95058319238902	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	2772a1 44352de1 11088bc1 77616ed1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11088be1

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
-	+	4	-	-	2	0	-4	4	4	4	6	0	4	-8	8	-8	-2	-8	-4	-2	8	-8	-4	-18

---

Quadratic twists for elliptic curve 11088be1

-4	8	-3	-7	-11
2772a1	44352de1	11088bc1	77616ed1	121968cu1

---

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