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	64	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	-241124179968 = -1 · 216 · 36 · 72 · 103	Discriminant
Eigenvalues	2- 3+  0 7- -2 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,967,20999]	[a1,a2,a3,a4,a6]
Generators	[-9:112:1]	Generators of the group modulo torsion
j	99994258523375/241124179968	j-invariant
L	4.6979857517227	L(r)(E,1)/r!
Ω	0.68959676014793	Real period
R	0.42579102230655	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	34608x1 12978k1 108150bh1 30282bv1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4326i1

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 4326i1

-4	-3	5	-7
34608x1	12978k1	108150bh1	30282bv1

---

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