Cremona's table of elliptic curves

9350 = 2 · 5² · 11 · 17

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	9350bh	Isogeny class
Conductor	9350	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	9360	Modular degree for the optimal curve
Δ	-15895000 = -1 · 23 · 54 · 11 · 172	Discriminant
Eigenvalues	2- -2 5-  2 11+ -1 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8263,288417]	[a1,a2,a3,a4,a6]
Generators	[-8:599:1]	Generators of the group modulo torsion
j	-99829808490625/25432	j-invariant
L	4.7611573002477	L(r)(E,1)/r!
Ω	1.7605360793309	Real period
R	1.3521896415941	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	74800dc1 84150dp1 9350d1 102850bw1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9350bh1

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	-	2	+	-1	+	-7	3	3	5	2	0	-7	0	0	-6	14	2	-9	-16	8	-3	15	-7

---

Quadratic twists for elliptic curve 9350bh1

-4	-3	5	-11
74800dc1	84150dp1	9350d1	102850bw1

---

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