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	2394h	Isogeny class
Conductor	2394	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	11263493138688 = 28 · 39 · 76 · 19	Discriminant
Eigenvalues	2- 3+  0 7-  6  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1257230,-542273507]	[a1,a2,a3,a4,a6]
j	11165451838341046875/572244736	j-invariant
L	3.4218198459993	L(r)(E,1)/r!
Ω	0.14257582691664	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152bh3 76608n3 2394b1 59850m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394h3

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

---

Quadratic twists for elliptic curve 2394h3

-4	8	-3	5	-7	-19
19152bh3	76608n3	2394b1	59850m3	16758r3	45486b3

---

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