Cremona's table of elliptic curves

29256 = 2³ · 3 · 23 · 53

Field	Data	Notes
Atkin-Lehner	2+ 3+ 23- 53-	Signs for the Atkin-Lehner involutions
Class	29256b	Isogeny class
Conductor	29256	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	470400	Modular degree for the optimal curve
Δ	-1167898056360235776 = -1 · 28 · 32 · 237 · 533	Discriminant
Eigenvalues	2+ 3+ -3 -2 -6 -1 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,174588,-43819884]	[a1,a2,a3,a4,a6]
Generators	[546:14628:1]	Generators of the group modulo torsion
j	2298923019973695152/4562101782657171	j-invariant
L	1.8492949703673	L(r)(E,1)/r!
Ω	0.14299491209141	Real period
R	0.15395943808002	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	58512e1 87768j1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 29256b1

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
+	+	-3	-2	-6	-1	-4	0	-	-1	2	-6	4	6	-3	-	7	-1	-15	-6	2	-15	-3	-18	-6

---

Quadratic twists for elliptic curve 29256b1

-4	-3
58512e1	87768j1

---

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