Cremona's table of elliptic curves

1520 = 2⁴ · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	1520f	Isogeny class
Conductor	1520	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	28880 = 24 · 5 · 192	Discriminant
Eigenvalues	2-  0 5+  2  4 -4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-8,3]	[a1,a2,a3,a4,a6]
j	3538944/1805	j-invariant
L	1.6468523166918	L(r)(E,1)/r!
Ω	3.2937046333836	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	380a1 6080w1 13680bk1 7600j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520f1

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

---

Quadratic twists for elliptic curve 1520f1

-4	8	-3	5	-7	-19
380a1	6080w1	13680bk1	7600j1	74480cq1	28880t1

---

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