Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	1950g	Isogeny class
Conductor	1950	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-3900000000 = -1 · 28 · 3 · 58 · 13	Discriminant
Eigenvalues	2+ 3- 5+  0  4 13+  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,374,1148]	[a1,a2,a3,a4,a6]
j	371694959/249600	j-invariant
L	1.7529230806214	L(r)(E,1)/r!
Ω	0.87646154031068	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	15600z1 62400z1 5850bm1 390b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950g1

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	4	+	6	4	-8	6	-8	10	-6	-4	0	10	4	-2	12	16	-2	-16	12	10	6

---

Quadratic twists for elliptic curve 1950g1

-4	8	-3	5	-7	13
15600z1	62400z1	5850bm1	390b1	95550bp1	25350cs1

---

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