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	2394g	Isogeny class
Conductor	2394	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	4874416218 = 2 · 39 · 73 · 192	Discriminant
Eigenvalues	2- 3+  0 7-  0  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-98795,-11927519]	[a1,a2,a3,a4,a6]
j	5417927574172875/247646	j-invariant
L	3.2314497280754	L(r)(E,1)/r!
Ω	0.26928747733962	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19152bc4 76608g4 2394a2 59850f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2394g4

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

---

Quadratic twists for elliptic curve 2394g4

-4	8	-3	5	-7	-19
19152bc4	76608g4	2394a2	59850f4	16758q4	45486a4

---

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