Cremona's table of elliptic curves

19360 = 2⁵ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	19360u	Isogeny class
Conductor	19360	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	10240	Modular degree for the optimal curve
Δ	566899520 = 26 · 5 · 116	Discriminant
Eigenvalues	2- -2 5+  2 11-  6 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-766,-8340]	[a1,a2,a3,a4,a6]
Generators	[84:726:1]	Generators of the group modulo torsion
j	438976/5	j-invariant
L	3.3842727736505	L(r)(E,1)/r!
Ω	0.90801723010733	Real period
R	1.8635509665662	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	19360e1 38720bl2 96800s1 160a1	Quadratic twists by: -4 8 5 -11

Hecke Eigenvalues for elliptic curve 19360u1

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

---

Quadratic twists for elliptic curve 19360u1

-4	8	5	-11
19360e1	38720bl2	96800s1	160a1

---

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