Cremona's table of elliptic curves

2394 = 2 · 3² · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 19-	Signs for the Atkin-Lehner involutions
Class	2394f	Isogeny class
Conductor	2394	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	399075012 = 22 · 37 · 74 · 19	Discriminant
Eigenvalues	2+ 3- -2 7+  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-10953,443961]	[a1,a2,a3,a4,a6]
Generators	[24:429:1]	Generators of the group modulo torsion
j	199350693197713/547428	j-invariant
L	2.0816779313295	L(r)(E,1)/r!
Ω	1.4641633007446	Real period
R	0.35543814174805	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	19152bu3 76608bb4 798i3 59850fl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394f4

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

---

Quadratic twists for elliptic curve 2394f4

-4	8	-3	5	-7	-19
19152bu3	76608bb4	798i3	59850fl4	16758j3	45486bi4

---

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