Cremona's table of elliptic curves

23805 = 3² · 5 · 23²

Field	Data	Notes
Atkin-Lehner	3+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	23805f	Isogeny class
Conductor	23805	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	5987076525 = 39 · 52 · 233	Discriminant
Eigenvalues	-1 3+ 5-  4 -4 -6  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3377,76276]	[a1,a2,a3,a4,a6]
Generators	[1:269:1]	Generators of the group modulo torsion
j	17779581/25	j-invariant
L	3.8599872923411	L(r)(E,1)/r!
Ω	1.3431314745502	Real period
R	1.4369357600058	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	23805a2 119025g2 23805b2	Quadratic twists by: -3 5 -23

Hecke Eigenvalues for elliptic curve 23805f2

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	+	-	4	-4	-6	6	2	-	0	8	-10	12	-4	-12	2	-6	8	-12	-10	-14	10	-4	6	2

---

Quadratic twists for elliptic curve 23805f2

-3	5	-23
23805a2	119025g2	23805b2

---

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