Cremona's table of elliptic curves

22320 = 2⁴ · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 31-	Signs for the Atkin-Lehner involutions
Class	22320x	Isogeny class
Conductor	22320	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-5313945600 = -1 · 213 · 33 · 52 · 312	Discriminant
Eigenvalues	2- 3+ 5+ -4 -4  2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,357,-2358]	[a1,a2,a3,a4,a6]
Generators	[21:120:1]	Generators of the group modulo torsion
j	45499293/48050	j-invariant
L	3.5475785121491	L(r)(E,1)/r!
Ω	0.73598623609749	Real period
R	0.60252120524696	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	2790o2 89280dx2 22320bd2 111600da2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22320x2

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

---

Quadratic twists for elliptic curve 22320x2

-4	8	-3	5
2790o2	89280dx2	22320bd2	111600da2

---

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