Cremona's table of elliptic curves

19110 = 2 · 3 · 5 · 7² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	19110dc	Isogeny class
Conductor	19110	Conductor
∏ cp	1200	Product of Tamagawa factors cp
Δ	-1.7072818461562E+19	Discriminant
Eigenvalues	2- 3- 5- 7- -2 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-494215,239549225]	[a1,a2,a3,a4,a6]
Generators	[-220:18485:1]	Generators of the group modulo torsion
j	-113470585236878689/145116562500000	j-invariant
L	9.62007034914	L(r)(E,1)/r!
Ω	0.19801544473133	Real period
R	0.16194141425336	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	57330z2 95550bl2 2730t2	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110dc2

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

---

Quadratic twists for elliptic curve 19110dc2

-3	5	-7
57330z2	95550bl2	2730t2

---

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