Cremona's table of elliptic curves

2755 = 5 · 19 · 29

Field	Data	Notes
Atkin-Lehner	5+ 19+ 29+	Signs for the Atkin-Lehner involutions
Class	2755a	Isogeny class
Conductor	2755	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	123642456003125 = 55 · 196 · 292	Discriminant
Eigenvalues	-1  0 5+  4  0 -4  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-12523,-65578]	[a1,a2,a3,a4,a6]
Generators	[350:6016:1]	Generators of the group modulo torsion
j	217178255949267969/123642456003125	j-invariant
L	2.103532400999	L(r)(E,1)/r!
Ω	0.48791777630706	Real period
R	4.3112436216614	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	44080j2 24795j2 13775b2 52345f2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 2755a2

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

---

Quadratic twists for elliptic curve 2755a2

-4	-3	5	-19	29
44080j2	24795j2	13775b2	52345f2	79895b2

---

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