Cremona's table of elliptic curves

72200 = 2³ · 5² · 19²

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	72200bb	Isogeny class
Conductor	72200	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	71509739120000000 = 210 · 57 · 197	Discriminant
Eigenvalues	2-  0 5+  0 -4 -6  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18293675,-30116154250]	[a1,a2,a3,a4,a6]
Generators	[-719841632718:-1584702638:291434247]	Generators of the group modulo torsion
j	899466517764/95	j-invariant
L	4.2640867114112	L(r)(E,1)/r!
Ω	0.073000244988403	Real period
R	14.602987671102	Regulator
r	1	Rank of the group of rational points
S	1.0000000002811	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14440e3 3800a4	Quadratic twists by: 5 -19

Hecke Eigenvalues for elliptic curve 72200bb4

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

---

Quadratic twists for elliptic curve 72200bb4

5	-19
14440e3	3800a4

---

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