Cremona's table of elliptic curves

855 = 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	3- 5- 19+	Signs for the Atkin-Lehner involutions
Class	855b	Isogeny class
Conductor	855	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-98688375 = -1 · 37 · 53 · 192	Discriminant
Eigenvalues	-1 3- 5- -2  2 -4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,13,474]	[a1,a2,a3,a4,a6]
Generators	[2:21:1]	Generators of the group modulo torsion
j	357911/135375	j-invariant
L	1.6027786294864	L(r)(E,1)/r!
Ω	1.4708261858568	Real period
R	0.36323771516951	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	13680bu1 54720bj1 285b1 4275f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 855b1

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
-1	-	-	-2	2	-4	-2	+	4	-4	0	0	0	-10	-12	2	-4	2	-16	0	-2	-8	12	0	-16

---

Quadratic twists for elliptic curve 855b1

-4	8	-3	5	-7	-11	-19
13680bu1	54720bj1	285b1	4275f1	41895bc1	103455be1	16245k1

---

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