Cremona's table of elliptic curves

14700 = 2² · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	14700j	Isogeny class
Conductor	14700	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-6808114684980000000 = -1 · 28 · 310 · 57 · 78	Discriminant
Eigenvalues	2- 3+ 5+ 7- -2  4  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-661908,-242105688]	[a1,a2,a3,a4,a6]
Generators	[16266:2071818:1]	Generators of the group modulo torsion
j	-68150496976/14467005	j-invariant
L	4.0805953987203	L(r)(E,1)/r!
Ω	0.08274852779389	Real period
R	4.1094340361803	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	58800ig2 44100bp2 2940i2 2100k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14700j2

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

---

Quadratic twists for elliptic curve 14700j2

-4	-3	5	-7
58800ig2	44100bp2	2940i2	2100k2

---

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