Cremona's table of elliptic curves

29040 = 2⁴ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	29040f	Isogeny class
Conductor	29040	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	460800	Modular degree for the optimal curve
Δ	1412292769524450000 = 24 · 32 · 55 · 1112	Discriminant
Eigenvalues	2+ 3+ 5+ -2 11-  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1080691,428978266]	[a1,a2,a3,a4,a6]
j	4924392082991104/49825153125	j-invariant
L	0.54205862030005	L(r)(E,1)/r!
Ω	0.27102931015044	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	14520bl1 116160jf1 87120ce1 2640c1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 29040f1

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	-4	4	-4	-6	0	6	-10	2	4	-2	-12	6	-8	0	8	-8	-18	14	14

---

Quadratic twists for elliptic curve 29040f1

-4	8	-3	-11
14520bl1	116160jf1	87120ce1	2640c1

---

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