Cremona's table of elliptic curves

10450 = 2 · 5² · 11 · 19

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	10450f	Isogeny class
Conductor	10450	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1365031250 = -1 · 2 · 56 · 112 · 192	Discriminant
Eigenvalues	2+  0 5+ -2 11-  2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,158,1566]	[a1,a2,a3,a4,a6]
Generators	[-1:38:1]	Generators of the group modulo torsion
j	27818127/87362	j-invariant
L	2.8356869355978	L(r)(E,1)/r!
Ω	1.0743861567191	Real period
R	1.3196777145087	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	83600bc2 94050cz2 418a2 114950cb2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 10450f2

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	-	2	-6	-	8	-6	6	-8	6	8	8	-12	0	-8	8	-6	14	-12	12	2	2

---

Quadratic twists for elliptic curve 10450f2

-4	-3	5	-11
83600bc2	94050cz2	418a2	114950cb2

---

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