Cremona's table of elliptic curves

15834 = 2 · 3 · 7 · 13 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 13+ 29+	Signs for the Atkin-Lehner involutions
Class	15834j	Isogeny class
Conductor	15834	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-7600358508288 = -1 · 28 · 3 · 74 · 132 · 293	Discriminant
Eigenvalues	2- 3+  0 7+  4 13+ -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1873,-137041]	[a1,a2,a3,a4,a6]
j	-726693935892625/7600358508288	j-invariant
L	2.5197098852323	L(r)(E,1)/r!
Ω	0.31496373565404	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	126672by1 47502i1 110838cl1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 15834j1

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

---

Quadratic twists for elliptic curve 15834j1

-4	-3	-7
126672by1	47502i1	110838cl1

---

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