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	1950u	Isogeny class
Conductor	1950	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	7274895849000 = 23 · 316 · 53 · 132	Discriminant
Eigenvalues	2- 3+ 5-  4  2 13-  4  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-9098,-311569]	[a1,a2,a3,a4,a6]
j	666276475992821/58199166792	j-invariant
L	2.9493592718206	L(r)(E,1)/r!
Ω	0.49155987863677	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	15600cy2 62400dn2 5850z2 1950l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950u2

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
-	+	-	4	2	-	4	2	-6	-2	-4	-6	-6	8	8	10	-14	10	4	8	10	-8	12	-18	6

---

Quadratic twists for elliptic curve 1950u2

-4	8	-3	5	-7	13
15600cy2	62400dn2	5850z2	1950l2	95550kp2	25350t2

---

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