Cremona's table of elliptic curves

15792 = 2⁴ · 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 47+	Signs for the Atkin-Lehner involutions
Class	15792u	Isogeny class
Conductor	15792	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	35626752 = 28 · 32 · 7 · 472	Discriminant
Eigenvalues	2- 3+ -2 7-  0 -4  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-84,108]	[a1,a2,a3,a4,a6]
Generators	[-3:18:1]	Generators of the group modulo torsion
j	259108432/139167	j-invariant
L	3.3544852404926	L(r)(E,1)/r!
Ω	1.8023225847914	Real period
R	1.8612013569595	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3948c2 63168dh2 47376bs2 110544dz2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 15792u2

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

---

Quadratic twists for elliptic curve 15792u2

-4	8	-3	-7
3948c2	63168dh2	47376bs2	110544dz2

---

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