Cremona's table of elliptic curves

50400 = 2⁵ · 3² · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	50400cw	Isogeny class
Conductor	50400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	126023688000000 = 29 · 38 · 56 · 74	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-25275,-1449250]	[a1,a2,a3,a4,a6]
Generators	[-74:126:1]	Generators of the group modulo torsion
j	306182024/21609	j-invariant
L	5.3086742568198	L(r)(E,1)/r!
Ω	0.38032419797127	Real period
R	3.4895717161205	Regulator
r	1	Rank of the group of rational points
S	1.0000000000062	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	50400dm3 100800ky4 16800a3 2016h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 50400cw3

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	-2	2	-4	0	-6	0	-6	6	8	-8	6	-12	10	16	-8	6	-8	12	14	6

---

Quadratic twists for elliptic curve 50400cw3

-4	8	-3	5
50400dm3	100800ky4	16800a3	2016h2

---

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