Cremona's table of elliptic curves

26800 = 2⁴ · 5² · 67

Field	Data	Notes
Atkin-Lehner	2+ 5- 67+	Signs for the Atkin-Lehner involutions
Class	26800k	Isogeny class
Conductor	26800	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	8928	Modular degree for the optimal curve
Δ	-3007630000 = -1 · 24 · 54 · 673	Discriminant
Eigenvalues	2+  0 5- -2  2  4 -1 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-950,11575]	[a1,a2,a3,a4,a6]
j	-9481881600/300763	j-invariant
L	1.4182315670181	L(r)(E,1)/r!
Ω	1.4182315670182	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13400i1 107200dh1 26800g1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 26800k1

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	4	-1	-1	-4	-5	8	3	0	8	-13	0	-5	-2	+	3	-6	12	7	-9	4

---

Quadratic twists for elliptic curve 26800k1

-4	8	5
13400i1	107200dh1	26800g1

---

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