Cremona's table of elliptic curves

2550 = 2 · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	2550h	Isogeny class
Conductor	2550	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	14292856582031250 = 2 · 316 · 510 · 17	Discriminant
Eigenvalues	2+ 3- 5+  0  4  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2836751,-1839219352]	[a1,a2,a3,a4,a6]
j	161572377633716256481/914742821250	j-invariant
L	1.8612915214025	L(r)(E,1)/r!
Ω	0.11633072008766	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20400bt7 81600c8 7650ca7 510e7	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2550h7

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

---

Quadratic twists for elliptic curve 2550h7

-4	8	-3	5	-7	17
20400bt7	81600c8	7650ca7	510e7	124950z8	43350b8

---

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