Cremona's table of elliptic curves

912 = 2⁴ · 3 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 19-	Signs for the Atkin-Lehner involutions
Class	912f	Isogeny class
Conductor	912	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-4595429376 = -1 · 212 · 310 · 19	Discriminant
Eigenvalues	2- 3+  1 -3  3 -6  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,315,2349]	[a1,a2,a3,a4,a6]
Generators	[36:243:1]	Generators of the group modulo torsion
j	841232384/1121931	j-invariant
L	2.0970333294045	L(r)(E,1)/r!
Ω	0.92672254267265	Real period
R	1.1314245811679	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	57c1 3648be1 2736s1 22800di1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 912f1

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
-	+	1	-3	3	-6	3	-	-4	-10	-2	8	-8	1	-3	-6	0	7	-8	-12	-11	0	-4	10	-2

---

Quadratic twists for elliptic curve 912f1

-4	8	-3	5	-7	-11	-19
57c1	3648be1	2736s1	22800di1	44688cs1	110352x1	17328bf1

---

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