Cremona's table of elliptic curves

11055 = 3 · 5 · 11 · 67

Field	Data	Notes
Atkin-Lehner	3- 5+ 11+ 67-	Signs for the Atkin-Lehner involutions
Class	11055f	Isogeny class
Conductor	11055	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	179986455 = 36 · 5 · 11 · 672	Discriminant
Eigenvalues	-1 3- 5+ -2 11+  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-331,-2254]	[a1,a2,a3,a4,a6]
Generators	[-10:14:1]	Generators of the group modulo torsion
j	4011342040369/179986455	j-invariant
L	2.9084203667225	L(r)(E,1)/r!
Ω	1.1223792161629	Real period
R	0.86376640052954	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	33165q2 55275b2 121605l2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 11055f2

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
-1	-	+	-2	+	6	-6	-4	4	0	-2	-2	6	6	4	-6	6	-12	-	6	-6	16	-6	6	8

---

Quadratic twists for elliptic curve 11055f2

-3	5	-11
33165q2	55275b2	121605l2

---

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