Cremona's table of elliptic curves

1898 = 2 · 13 · 73

Field	Data	Notes
Atkin-Lehner	2- 13+ 73+	Signs for the Atkin-Lehner involutions
Class	1898a	Isogeny class
Conductor	1898	Conductor
∏ cp	34	Product of Tamagawa factors cp
deg	19040	Modular degree for the optimal curve
Δ	-259341732675584 = -1 · 217 · 135 · 732	Discriminant
Eigenvalues	2-  3 -1 -1  0 13+  7 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-88353,-10115855]	[a1,a2,a3,a4,a6]
j	-76275138549883285089/259341732675584	j-invariant
L	4.706576551865	L(r)(E,1)/r!
Ω	0.13842872211368	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	15184d1 60736e1 17082b1 47450j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1898a1

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
-	3	-1	-1	0	+	7	-4	6	8	4	9	-6	-1	-5	6	-8	-2	-12	-13	+	-14	6	14	-6

---

Quadratic twists for elliptic curve 1898a1

-4	8	-3	5	-7	13
15184d1	60736e1	17082b1	47450j1	93002y1	24674d1

---

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