Cremona's table of elliptic curves

15456 = 2⁵ · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	15456u	Isogeny class
Conductor	15456	Conductor
∏ cp	102	Product of Tamagawa factors cp
deg	192576	Modular degree for the optimal curve
Δ	-5631354133784064 = -1 · 29 · 317 · 7 · 233	Discriminant
Eigenvalues	2- 3- -1 7-  0 -1 -4  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-877136,315918696]	[a1,a2,a3,a4,a6]
Generators	[550:-414:1]	Generators of the group modulo torsion
j	-145765603223714807432/10998738542547	j-invariant
L	5.7245756176608	L(r)(E,1)/r!
Ω	0.40718251962761	Real period
R	0.13783325084915	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	15456h1 30912br1 46368r1 108192bj1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15456u1

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
-	-	-1	-	0	-1	-4	8	-	-9	6	-3	-9	-11	13	12	6	-14	-4	-10	0	4	12	10	-15

---

Quadratic twists for elliptic curve 15456u1

-4	8	-3	-7
15456h1	30912br1	46368r1	108192bj1

---

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