Cremona's table of elliptic curves

5340 = 2² · 3 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 89+	Signs for the Atkin-Lehner involutions
Class	5340b	Isogeny class
Conductor	5340	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-3737145600 = -1 · 28 · 38 · 52 · 89	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,340,-1800]	[a1,a2,a3,a4,a6]
Generators	[10:50:1]	Generators of the group modulo torsion
j	16929437744/14598225	j-invariant
L	3.3204655665438	L(r)(E,1)/r!
Ω	0.77104335271043	Real period
R	1.4354858927502	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	21360n2 85440m2 16020a2 26700g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5340b2

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	-4	2	-4	8	10	0	4	6	-8	-2	-6	-12	10	2	4	2	-4	0	+	-18

---

Quadratic twists for elliptic curve 5340b2

-4	8	-3	5
21360n2	85440m2	16020a2	26700g2

---

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