Cremona's table of elliptic curves

1216 = 2⁶ · 19

Field	Data	Notes
Atkin-Lehner	2+ 19+	Signs for the Atkin-Lehner involutions
Class	1216d	Isogeny class
Conductor	1216	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-1216 = -1 · 26 · 19	Discriminant
Eigenvalues	2+  2 -3 -1 -3  4 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3077,-64681]	[a1,a2,a3,a4,a6]
Generators	[56182:668541:343]	Generators of the group modulo torsion
j	-50357871050752/19	j-invariant
L	2.9381154123721	L(r)(E,1)/r!
Ω	0.320498442778	Real period
R	9.1673313196323	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1216q3 19a2 10944t3 30400g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1216d3

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	-3	-1	-3	4	-3	+	0	-6	-4	-2	-6	1	-3	-12	6	1	4	6	-7	8	-12	12	8

---

Quadratic twists for elliptic curve 1216d3

-4	8	-3	5	-7	-19
1216q3	19a2	10944t3	30400g3	59584bn3	23104u3

---

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