Cremona's table of elliptic curves

26400 = 2⁵ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	26400bd	Isogeny class
Conductor	26400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	70276800000000 = 212 · 3 · 58 · 114	Discriminant
Eigenvalues	2- 3+ 5+  0 11+  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14033,-492063]	[a1,a2,a3,a4,a6]
j	4775581504/1098075	j-invariant
L	1.7835846482819	L(r)(E,1)/r!
Ω	0.44589616207049	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	26400s3 52800co1 79200bi3 5280f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 26400bd3

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
-	+	+	0	+	2	2	0	0	6	4	-6	-2	8	0	-10	12	-2	-4	8	6	8	-4	-6	-2

---

Quadratic twists for elliptic curve 26400bd3

-4	8	-3	5
26400s3	52800co1	79200bi3	5280f2

---

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