Cremona's table of elliptic curves

342 = 2 · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19-	Signs for the Atkin-Lehner involutions
Class	342c	Isogeny class
Conductor	342	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	60002532 = 22 · 37 · 193	Discriminant
Eigenvalues	2+ 3-  0 -4  0 -4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3852,92988]	[a1,a2,a3,a4,a6]
Generators	[-39:447:1]	Generators of the group modulo torsion
j	8671983378625/82308	j-invariant
L	1.2648109167857	L(r)(E,1)/r!
Ω	1.7816724979966	Real period
R	1.0648513558535	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	2736n3 10944o3 114a3 8550bf3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 342c3

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

---

Quadratic twists for elliptic curve 342c3

-4	8	-3	5	-7	-11	13	17	-19
2736n3	10944o3	114a3	8550bf3	16758g3	41382bu3	57798bf3	98838q3	6498v3

---

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