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
Δ	121600 = 28 · 52 · 19	Discriminant
Eigenvalues	2-  0 5+  2  4 -4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-103,402]	[a1,a2,a3,a4,a6]
j	472058064/475	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	380a2 6080w2 13680bk2 7600j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1520f2

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 1520f2

-4	8	-3	5	-7	-19
380a2	6080w2	13680bk2	7600j2	74480cq2	28880t2

---

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