Cremona's table of elliptic curves

5054 = 2 · 7 · 19²

Field	Data	Notes
Atkin-Lehner	2- 7- 19-	Signs for the Atkin-Lehner involutions
Class	5054c	Isogeny class
Conductor	5054	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2376	Modular degree for the optimal curve
Δ	-1317284668 = -1 · 22 · 7 · 196	Discriminant
Eigenvalues	2-  2  0 7-  0  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-188,-2087]	[a1,a2,a3,a4,a6]
j	-15625/28	j-invariant
L	5.4735938188337	L(r)(E,1)/r!
Ω	0.60817709098152	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	40432r1 45486p1 126350q1 35378p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5054c1

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

---

Quadratic twists for elliptic curve 5054c1

-4	-3	5	-7	-19
40432r1	45486p1	126350q1	35378p1	14a4

---

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