Cremona's table of elliptic curves

17136 = 2⁴ · 3² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 17-	Signs for the Atkin-Lehner involutions
Class	17136l	Isogeny class
Conductor	17136	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1.1585562560216E+19	Discriminant
Eigenvalues	2+ 3- -2 7-  6  4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2416251,1436337866]	[a1,a2,a3,a4,a6]
j	1044942448578893426/7759962920241	j-invariant
L	2.7313273646784	L(r)(E,1)/r!
Ω	0.2276106137232	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	8568j2 68544eu2 5712d2 119952z2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 17136l2

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

---

Quadratic twists for elliptic curve 17136l2

-4	8	-3	-7
8568j2	68544eu2	5712d2	119952z2

---

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