Cremona's table of elliptic curves

52200 = 2³ · 3² · 5² · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 29+	Signs for the Atkin-Lehner involutions
Class	52200z	Isogeny class
Conductor	52200	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	48960	Modular degree for the optimal curve
Δ	-784753920000 = -1 · 211 · 36 · 54 · 292	Discriminant
Eigenvalues	2+ 3- 5-  0 -5  4 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1875,-52850]	[a1,a2,a3,a4,a6]
Generators	[54:58:1]	Generators of the group modulo torsion
j	-781250/841	j-invariant
L	5.6959493799563	L(r)(E,1)/r!
Ω	0.34796255932672	Real period
R	2.7282386314473	Regulator
r	1	Rank of the group of rational points
S	1.0000000000073	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	104400bv1 5800n1 52200bq1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 52200z1

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	-5	4	-3	1	2	+	2	-2	1	8	2	-8	4	14	5	-2	-15	-4	-1	-13	2

---

Quadratic twists for elliptic curve 52200z1

-4	-3	5
104400bv1	5800n1	52200bq1

---

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