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	19110by	Isogeny class
Conductor	19110	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-66071678400 = -1 · 26 · 33 · 52 · 76 · 13	Discriminant
Eigenvalues	2- 3+ 5- 7-  0 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-295,-12643]	[a1,a2,a3,a4,a6]
j	-24137569/561600	j-invariant
L	2.8586251922278	L(r)(E,1)/r!
Ω	0.47643753203797	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	57330r1 95550ei1 390c1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 19110by1

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

---

Quadratic twists for elliptic curve 19110by1

-3	5	-7
57330r1	95550ei1	390c1

---

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