Cremona's table of elliptic curves

34656 = 2⁵ · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 19+	Signs for the Atkin-Lehner involutions
Class	34656t	Isogeny class
Conductor	34656	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2560108032 = -1 · 29 · 36 · 193	Discriminant
Eigenvalues	2- 3+  0  0  2  6 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,32,-2444]	[a1,a2,a3,a4,a6]
j	1000/729	j-invariant
L	1.3481007992425	L(r)(E,1)/r!
Ω	0.67405039962112	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	34656y2 69312cx2 103968g2 34656m2	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 34656t2

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

---

Quadratic twists for elliptic curve 34656t2

-4	8	-3	-19
34656y2	69312cx2	103968g2	34656m2

---

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