Cremona's table of elliptic curves

16170 = 2 · 3 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 11+	Signs for the Atkin-Lehner involutions
Conductor	16170	Conductor
Count	4	Number of curves in isogeny class
Curves	16170z1 16170z2 16170z3 16170z4	Curves in isogeny class
deg	184320	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7- 11+  2 -2  0	Hecke eigenvalues for primes less than 20
L	2.1931957738674	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	129360fi 48510dh 80850dw 2310a	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 16170z

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	-2	0	8	2	0	-6	-6	-8	4	-6	-4	6	8	12	6	0	4	2	14

---

Quadratic twists for isogeny class 16170z

-4	-3	5	-7
129360fi	48510dh	80850dw	2310a

---

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