Cremona's table of elliptic curves

3550 = 2 · 5² · 71

Field	Data	Notes
Atkin-Lehner	2+ 5+ 71+	Signs for the Atkin-Lehner involutions
Class	3550b	Isogeny class
Conductor	3550	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	11184718750 = 2 · 56 · 713	Discriminant
Eigenvalues	2+ -1 5+  1  0  1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1450,-21250]	[a1,a2,a3,a4,a6]
Generators	[-25:25:1]	Generators of the group modulo torsion
j	21601086625/715822	j-invariant
L	2.185760833045	L(r)(E,1)/r!
Ω	0.77517681364137	Real period
R	1.4098466276213	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28400q2 113600b2 31950cj2 142d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3550b2

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	+	1	0	1	0	-1	-3	0	5	4	0	1	-9	-6	6	2	-8	+	1	8	-12	-3	16

---

Quadratic twists for elliptic curve 3550b2

-4	8	-3	5
28400q2	113600b2	31950cj2	142d2

---

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