Cremona's table of elliptic curves

17808 = 2⁴ · 3 · 7 · 53

Field	Data	Notes
Atkin-Lehner	2- 3+ 7- 53+	Signs for the Atkin-Lehner involutions
Class	17808q	Isogeny class
Conductor	17808	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	84438982656 = 213 · 34 · 74 · 53	Discriminant
Eigenvalues	2- 3+  2 7-  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9192,342000]	[a1,a2,a3,a4,a6]
Generators	[-6:630:1]	Generators of the group modulo torsion
j	20972058349033/20614986	j-invariant
L	5.1838919164301	L(r)(E,1)/r!
Ω	1.0734265476895	Real period
R	1.2073233905916	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	2226e3 71232dj4 53424bx4 124656dn4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17808q3

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

---

Quadratic twists for elliptic curve 17808q3

-4	8	-3	-7
2226e3	71232dj4	53424bx4	124656dn4

---

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