Cremona's table of elliptic curves

8360 = 2³ · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+ 19+	Signs for the Atkin-Lehner involutions
Class	8360a	Isogeny class
Conductor	8360	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5591168000 = 210 · 53 · 112 · 192	Discriminant
Eigenvalues	2+ -2 5+  2 11+ -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2736,54064]	[a1,a2,a3,a4,a6]
Generators	[12:152:1]	Generators of the group modulo torsion
j	2212741893316/5460125	j-invariant
L	2.7749424407127	L(r)(E,1)/r!
Ω	1.3565400755678	Real period
R	1.0228014972396	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	16720k2 66880bu2 75240bn2 41800o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8360a2

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	+	-2	4	+	-4	-2	0	-8	10	10	0	4	-8	-2	-2	12	-4	0	-10	-10	16

---

Quadratic twists for elliptic curve 8360a2

-4	8	-3	5	-11
16720k2	66880bu2	75240bn2	41800o2	91960u2

---

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