Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	9702h	Isogeny class
Conductor	9702	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5382041595632856 = -1 · 23 · 39 · 710 · 112	Discriminant
Eigenvalues	2+ 3+ -2 7- 11+  4 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,41592,1331000]	[a1,a2,a3,a4,a6]
j	3436115229/2324168	j-invariant
L	1.080623644446	L(r)(E,1)/r!
Ω	0.27015591111149	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	77616dy2 9702bk2 1386a2 106722fc2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702h2

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

---

Quadratic twists for elliptic curve 9702h2

-4	-3	-7	-11
77616dy2	9702bk2	1386a2	106722fc2

---

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