Cremona's table of elliptic curves

2774 = 2 · 19 · 73

Field	Data	Notes
Atkin-Lehner	2+ 19+ 73+	Signs for the Atkin-Lehner involutions
Class	2774a	Isogeny class
Conductor	2774	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	1686592 = 26 · 192 · 73	Discriminant
Eigenvalues	2+  0  0  2  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-52,144]	[a1,a2,a3,a4,a6]
Generators	[0:12:1]	Generators of the group modulo torsion
j	15718937625/1686592	j-invariant
L	2.497629342527	L(r)(E,1)/r!
Ω	2.5773662930038	Real period
R	0.9690626238524	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	22192b1 88768d1 24966j1 69350g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2774a1

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

---

Quadratic twists for elliptic curve 2774a1

-4	8	-3	5	-19
22192b1	88768d1	24966j1	69350g1	52706d1

---

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