Cremona's table of elliptic curves

954 = 2 · 3² · 53

Field	Data	Notes
Atkin-Lehner	2+ 3- 53+	Signs for the Atkin-Lehner involutions
Class	954c	Isogeny class
Conductor	954	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	704	Modular degree for the optimal curve
Δ	-712157184 = -1 · 211 · 38 · 53	Discriminant
Eigenvalues	2+ 3-  3 -4  5 -2 -5  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-108,-1328]	[a1,a2,a3,a4,a6]
j	-192100033/976896	j-invariant
L	1.335307891448	L(r)(E,1)/r!
Ω	0.66765394572399	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	7632i1 30528x1 318d1 23850cs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 954c1

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
+	-	3	-4	5	-2	-5	6	7	8	1	2	-4	-1	6	+	3	-2	-10	0	-6	15	10	5	19

---

Quadratic twists for elliptic curve 954c1

-4	8	-3	5	-7	-11	53
7632i1	30528x1	318d1	23850cs1	46746m1	115434bp1	50562be1

---

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