Cremona's table of elliptic curves

935 = 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	5- 11+ 17+	Signs for the Atkin-Lehner involutions
Class	935b	Isogeny class
Conductor	935	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-289614925147075 = -1 · 52 · 119 · 173	Discriminant
Eigenvalues	0 -2 5-  5 11+ -4 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-9655,893306]	[a1,a2,a3,a4,a6]
j	-99546392709922816/289614925147075	j-invariant
L	0.96413668832096	L(r)(E,1)/r!
Ω	0.48206834416048	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	14960p2 59840g2 8415l2 4675h2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 935b2

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
0	-2	-	5	+	-4	+	-4	6	-3	2	8	9	-4	-3	-9	9	14	5	6	11	8	6	9	-4

---

Quadratic twists for elliptic curve 935b2

-4	8	-3	5	-7	-11	17
14960p2	59840g2	8415l2	4675h2	45815i2	10285l2	15895d2

---

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