Cremona's table of elliptic curves

17640 = 2³ · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7-	Signs for the Atkin-Lehner involutions
Conductor	17640	Conductor
Count	6	Number of curves in isogeny class
Curves	17640bg1 17640bg2 17640bg3 17640bg4 17640bg5 17640bg6	Curves in isogeny class
deg	98304	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- 7- -4  2 -6 -4	Hecke eigenvalues for primes less than 20
L	1.3337311928084	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	35280cl 5880bc 88200hd 2520g	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 17640bg

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
+	-	-	-	-4	2	-6	-4	-8	2	0	-2	10	4	0	-14	12	2	-4	0	-2	-8	-4	-6	6

---

Quadratic twists for isogeny class 17640bg

-4	-3	5	-7
35280cl	5880bc	88200hd	2520g

---

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