Cremona's table of elliptic curves

15162 = 2 · 3 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	15162f	Isogeny class
Conductor	15162	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-4805454468864 = -1 · 28 · 3 · 7 · 197	Discriminant
Eigenvalues	2+ 3+  2 7+  0 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,1076,105040]	[a1,a2,a3,a4,a6]
j	2924207/102144	j-invariant
L	1.1635990007181	L(r)(E,1)/r!
Ω	0.58179950035903	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	121296dg1 45486bi1 106134bi1 798i1	Quadratic twists by: -4 -3 -7 -19

Hecke Eigenvalues for elliptic curve 15162f1

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

---

Quadratic twists for elliptic curve 15162f1

-4	-3	-7	-19
121296dg1	45486bi1	106134bi1	798i1

---

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