Cremona's table of elliptic curves

72450 = 2 · 3² · 5² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	72450bu	Isogeny class
Conductor	72450	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	5.4001973400212E+21	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-12834792,17344751616]	[a1,a2,a3,a4,a6]
Generators	[-3765:112731:1] [3480:-123456:1]	Generators of the group modulo torsion
j	20527812941011798969/474091398849600	j-invariant
L	7.9140889681663	L(r)(E,1)/r!
Ω	0.13549626690015	Real period
R	1.2168368714068	Regulator
r	2	Rank of the group of rational points
S	1.0000000000084	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	24150ck2 14490bu2	Quadratic twists by: -3 5

Hecke Eigenvalues for elliptic curve 72450bu2

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	-6	2	0	-	-2	0	-10	-6	-8	-12	-6	-12	10	16	-4	6	-16	-4	2	-18

---

Quadratic twists for elliptic curve 72450bu2

-3	5
24150ck2	14490bu2

---

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