Cremona's table of elliptic curves

19344 = 2⁴ · 3 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+ 31-	Signs for the Atkin-Lehner involutions
Class	19344j	Isogeny class
Conductor	19344	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	6091967232 = 28 · 310 · 13 · 31	Discriminant
Eigenvalues	2- 3+  0  0 -2 13+  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2068,36700]	[a1,a2,a3,a4,a6]
Generators	[922:9177:8]	Generators of the group modulo torsion
j	3822481042000/23796747	j-invariant
L	4.1237833300264	L(r)(E,1)/r!
Ω	1.3505615653799	Real period
R	6.1067683780359	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	4836c2 77376bp2 58032x2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 19344j2

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

---

Quadratic twists for elliptic curve 19344j2

-4	8	-3
4836c2	77376bp2	58032x2

---

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