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	19680a	Isogeny class
Conductor	19680	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1742860800 = -1 · 29 · 34 · 52 · 412	Discriminant
Eigenvalues	2+ 3+ 5+  2  0  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,144,-1944]	[a1,a2,a3,a4,a6]
Generators	[45:306:1]	Generators of the group modulo torsion
j	640503928/3404025	j-invariant
L	4.3018466697614	L(r)(E,1)/r!
Ω	0.74872556929356	Real period
R	2.8727793240855	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19680w2 39360bg2 59040by2 98400cn2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19680a2

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	0	4	-6	-4	4	0	0	2	+	-12	2	8	12	2	8	6	-10	-2	4	-6	2

---

Quadratic twists for elliptic curve 19680a2

-4	8	-3	5
19680w2	39360bg2	59040by2	98400cn2

---

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