Cremona's table of elliptic curves

4326 = 2 · 3 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 103+	Signs for the Atkin-Lehner involutions
Class	4326i	Isogeny class
Conductor	4326	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	10103399163648 = 28 · 312 · 7 · 1032	Discriminant
Eigenvalues	2- 3+  0 7- -2 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-7993,225287]	[a1,a2,a3,a4,a6]
Generators	[7:408:1]	Generators of the group modulo torsion
j	56475039965604625/10103399163648	j-invariant
L	4.6979857517227	L(r)(E,1)/r!
Ω	0.68959676014793	Real period
R	0.85158204461309	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	34608x2 12978k2 108150bh2 30282bv2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326i2

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

---

Quadratic twists for elliptic curve 4326i2

-4	-3	5	-7
34608x2	12978k2	108150bh2	30282bv2

---

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