Cremona's table of elliptic curves

3542 = 2 · 7 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 11- 23+	Signs for the Atkin-Lehner involutions
Class	3542h	Isogeny class
Conductor	3542	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	6960	Modular degree for the optimal curve
Δ	-950798385152 = -1 · 229 · 7 · 11 · 23	Discriminant
Eigenvalues	2+ -3  0 7- 11-  0 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-502,-46988]	[a1,a2,a3,a4,a6]
Generators	[41:-11:1]	Generators of the group modulo torsion
j	-14006234957625/950798385152	j-invariant
L	1.6325120163288	L(r)(E,1)/r!
Ω	0.38838159317303	Real period
R	4.2033712334083	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	28336t1 113344bf1 31878bi1 88550bs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542h1

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
+	-3	0	-	-	0	-2	4	+	-1	-4	-5	3	-6	8	-3	3	3	7	3	2	-17	-7	17	-2

---

Quadratic twists for elliptic curve 3542h1

-4	8	-3	5	-7	-11	-23
28336t1	113344bf1	31878bi1	88550bs1	24794s1	38962ba1	81466i1

---

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