Cremona's table of elliptic curves

23940 = 2² · 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	23940n	Isogeny class
Conductor	23940	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-235307929575600 = -1 · 24 · 36 · 52 · 76 · 193	Discriminant
Eigenvalues	2- 3- 5+ 7-  0  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,15432,15433]	[a1,a2,a3,a4,a6]
Generators	[6:329:1]	Generators of the group modulo torsion
j	34845190651904/20173862275	j-invariant
L	5.5332654048889	L(r)(E,1)/r!
Ω	0.33360678149663	Real period
R	2.7643649708726	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	95760da3 2660h3 119700p3	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 23940n3

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	6	-	0	6	-4	-4	0	-4	-12	-12	0	-10	-4	6	-10	2	0	0	-10

---

Quadratic twists for elliptic curve 23940n3

-4	-3	5
95760da3	2660h3	119700p3

---

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