Cremona's table of elliptic curves

3740 = 2² · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 17-	Signs for the Atkin-Lehner involutions
Class	3740c	Isogeny class
Conductor	3740	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-3057077402500000000 = -1 · 28 · 510 · 114 · 174	Discriminant
Eigenvalues	2-  2 5+ -2 11-  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-222956,-93298600]	[a1,a2,a3,a4,a6]
j	-4787879231470062544/11941708603515625	j-invariant
L	2.4559913123031	L(r)(E,1)/r!
Ω	0.10233297134596	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	14960h2 59840o2 33660f2 18700g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3740c2

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

---

Quadratic twists for elliptic curve 3740c2

-4	8	-3	5	-11	17
14960h2	59840o2	33660f2	18700g2	41140c2	63580k2

---

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