Cremona's table of elliptic curves

3770 = 2 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+ 29-	Signs for the Atkin-Lehner involutions
Class	3770a	Isogeny class
Conductor	3770	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1.2152290344238E+19	Discriminant
Eigenvalues	2+  0 5+  0  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,476155,110048575]	[a1,a2,a3,a4,a6]
j	11939008088987108027991/12152290344238281250	j-invariant
L	1.1905862138262	L(r)(E,1)/r!
Ω	0.14882327672828	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30160t3 120640bh3 33930bd3 18850x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3770a4

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

---

Quadratic twists for elliptic curve 3770a4

-4	8	-3	5	13	29
30160t3	120640bh3	33930bd3	18850x4	49010r3	109330p3

---

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