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	3542j	Isogeny class
Conductor	3542	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1568	Modular degree for the optimal curve
Δ	833425516 = 22 · 77 · 11 · 23	Discriminant
Eigenvalues	2- -1 -1 7+ 11+  3 -2  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-886,-10425]	[a1,a2,a3,a4,a6]
j	76922876001889/833425516	j-invariant
L	1.7512689461567	L(r)(E,1)/r!
Ω	0.87563447307834	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28336br1 113344o1 31878j1 88550r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3542j1

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
-	-1	-1	+	+	3	-2	1	+	6	0	10	-9	-6	7	-6	0	12	7	0	7	16	15	3	-13

---

Quadratic twists for elliptic curve 3542j1

-4	8	-3	5	-7	-11	-23
28336br1	113344o1	31878j1	88550r1	24794bb1	38962l1	81466bn1

---

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