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	19360y	Isogeny class
Conductor	19360	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	403200	Modular degree for the optimal curve
Δ	-5.523633943029E+19	Discriminant
Eigenvalues	2- -1 5- -1 11-  2  5 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-363040,367477112]	[a1,a2,a3,a4,a6]
j	-5833944216008/60897409375	j-invariant
L	1.6938465839757	L(r)(E,1)/r!
Ω	0.16938465839757	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	19360w1 38720bw1 96800e1 1760d1	Quadratic twists by: -4 8 5 -11

Hecke Eigenvalues for elliptic curve 19360y1

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	-	-1	-	2	5	-7	6	1	5	11	-2	4	-6	-1	10	-5	8	-9	6	-10	-6	17	16

---

Quadratic twists for elliptic curve 19360y1

-4	8	5	-11
19360w1	38720bw1	96800e1	1760d1

---

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