Cremona's table of elliptic curves

1738 = 2 · 11 · 79

Field	Data	Notes
Atkin-Lehner	2+ 11- 79+	Signs for the Atkin-Lehner involutions
Class	1738c	Isogeny class
Conductor	1738	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7040	Modular degree for the optimal curve
Δ	4851295584256 = 222 · 114 · 79	Discriminant
Eigenvalues	2+  3  3  1 11-  1 -4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-22348,-1275952]	[a1,a2,a3,a4,a6]
j	1234384987853171097/4851295584256	j-invariant
L	3.1245079273007	L(r)(E,1)/r!
Ω	0.39056349091258	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13904f1 55616d1 15642g1 43450w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1738c1

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
+	3	3	1	-	1	-4	-2	2	0	0	-2	0	-8	-3	2	-3	4	8	5	10	+	-2	-7	-15

---

Quadratic twists for elliptic curve 1738c1

-4	8	-3	5	-7	-11
13904f1	55616d1	15642g1	43450w1	85162p1	19118j1

---

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