Cremona's table of elliptic curves

14400 = 2⁶ · 3² · 5²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+	Signs for the Atkin-Lehner involutions
Class	14400ds	Isogeny class
Conductor	14400	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1679616000000 = 214 · 38 · 56	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3900,70000]	[a1,a2,a3,a4,a6]
Generators	[-30:400:1]	Generators of the group modulo torsion
j	35152/9	j-invariant
L	4.4753273577051	L(r)(E,1)/r!
Ω	0.78744817716561	Real period
R	1.4208323441086	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14400x2 3600k2 4800cb2 576i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14400ds2

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	-2	2	-4	8	6	-8	6	6	-4	0	2	-4	2	4	8	-10	8	-4	6	-2

---

Quadratic twists for elliptic curve 14400ds2

-4	8	-3	5
14400x2	3600k2	4800cb2	576i2

---

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