Cremona's table of elliptic curves

3504 = 2⁴ · 3 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 73+	Signs for the Atkin-Lehner involutions
Class	3504h	Isogeny class
Conductor	3504	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	-338911183763500032 = -1 · 210 · 37 · 736	Discriminant
Eigenvalues	2+ 3-  4  0  2 -2  8  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-83016,29455812]	[a1,a2,a3,a4,a6]
j	-61789459762658596/330967952894043	j-invariant
L	3.6833140732055	L(r)(E,1)/r!
Ω	0.26309386237182	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	1752d2 14016bj2 10512g2 87600h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3504h2

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

---

Quadratic twists for elliptic curve 3504h2

-4	8	-3	5
1752d2	14016bj2	10512g2	87600h2

---

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