Cremona's table of elliptic curves

360 = 2³ · 3² · 5

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+	Signs for the Atkin-Lehner involutions
Class	360a	Isogeny class
Conductor	360	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	377913600 = 28 · 310 · 52	Discriminant
Eigenvalues	2+ 3- 5+  0  4  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-183,-182]	[a1,a2,a3,a4,a6]
j	3631696/2025	j-invariant
L	1.3930826875505	L(r)(E,1)/r!
Ω	1.3930826875505	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	720c2 2880s2 120a2 1800r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 360a2

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
+	-	+	0	4	6	6	-4	0	2	-8	-2	6	12	-8	-6	-12	14	4	-8	-6	-8	12	-10	2

---

Quadratic twists for elliptic curve 360a2

-4	8	-3	5	-7	-11	13	17	-19
720c2	2880s2	120a2	1800r2	17640be2	43560bt2	60840bs2	104040x2	129960cg2

---

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