Cremona's table of elliptic curves

20700 = 2² · 3² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	20700i	Isogeny class
Conductor	20700	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-104793750000 = -1 · 24 · 36 · 58 · 23	Discriminant
Eigenvalues	2- 3- 5+  2  4 -1  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2325,-45875]	[a1,a2,a3,a4,a6]
Generators	[60:175:1]	Generators of the group modulo torsion
j	-7626496/575	j-invariant
L	5.8949616837875	L(r)(E,1)/r!
Ω	0.34228412671628	Real period
R	2.8704036713305	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	82800ei1 2300d1 4140d1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 20700i1

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	4	-1	0	-4	+	7	-7	4	-3	-6	-13	10	8	0	-8	-13	-11	4	-4	6	2

---

Quadratic twists for elliptic curve 20700i1

-4	-3	5
82800ei1	2300d1	4140d1

---

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