Cremona's table of elliptic curves

19680 = 2⁵ · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 41+	Signs for the Atkin-Lehner involutions
Class	19680s	Isogeny class
Conductor	19680	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	-21172531200 = -1 · 212 · 3 · 52 · 413	Discriminant
Eigenvalues	2- 3+ 5-  2  3 -2  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,435,5925]	[a1,a2,a3,a4,a6]
Generators	[-5:60:1]	Generators of the group modulo torsion
j	2217342464/5169075	j-invariant
L	5.1067319802913	L(r)(E,1)/r!
Ω	0.84314979719781	Real period
R	1.5141828881604	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19680bc1 39360cj1 59040m1 98400v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680s1

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
-	+	-	2	3	-2	3	-6	-4	-5	-5	3	+	9	3	2	8	-7	12	-13	7	-8	-12	6	0

---

Quadratic twists for elliptic curve 19680s1

-4	8	-3	5
19680bc1	39360cj1	59040m1	98400v1

---

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