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	3542o	Isogeny class
Conductor	3542	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-469960256734490368 = -1 · 28 · 7 · 116 · 236	Discriminant
Eigenvalues	2- -2  0 7- 11+  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,193462,-3877340]	[a1,a2,a3,a4,a6]
Generators	[1820:78950:1]	Generators of the group modulo torsion
j	800775157152056609375/469960256734490368	j-invariant
L	3.7947525505348	L(r)(E,1)/r!
Ω	0.17387964464397	Real period
R	2.7280022902513	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28336bd3 113344bs3 31878r3 88550g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542o3

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	0	-	+	2	0	-4	+	-6	2	2	-6	-4	6	6	-6	8	-4	0	-10	-16	0	12	8

---

Quadratic twists for elliptic curve 3542o3

-4	8	-3	5	-7	-11	-23
28336bd3	113344bs3	31878r3	88550g3	24794bg3	38962f3	81466be3

---

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