Cremona's table of elliptic curves

2904 = 2³ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	2904k	Isogeny class
Conductor	2904	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-159359536748544 = -1 · 211 · 3 · 1110	Discriminant
Eigenvalues	2- 3+  2  0 11- -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,10608,-441780]	[a1,a2,a3,a4,a6]
Generators	[87699:4999870:27]	Generators of the group modulo torsion
j	36382894/43923	j-invariant
L	3.1799461499188	L(r)(E,1)/r!
Ω	0.30877714244811	Real period
R	10.298515378136	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808n4 23232cb3 8712k4 72600bi3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2904k4

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	0	-	-2	-6	0	4	-2	0	-10	-6	8	-4	-6	-12	-2	4	12	14	-16	12	10	-14

---

Quadratic twists for elliptic curve 2904k4

-4	8	-3	5	-11
5808n4	23232cb3	8712k4	72600bi3	264b4

---

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