Cremona's table of elliptic curves

14100 = 2² · 3 · 5² · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 47-	Signs for the Atkin-Lehner involutions
Class	14100b	Isogeny class
Conductor	14100	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	103680	Modular degree for the optimal curve
Δ	-337199314500000000 = -1 · 28 · 315 · 59 · 47	Discriminant
Eigenvalues	2- 3+ 5+  1  0  1  3 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,150092,16672312]	[a1,a2,a3,a4,a6]
Generators	[-1013541:23034800:12167]	Generators of the group modulo torsion
j	93483176565296/84299828625	j-invariant
L	4.2575092004347	L(r)(E,1)/r!
Ω	0.19839619043154	Real period
R	10.729815908193	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	56400cm1 42300j1 2820e1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 14100b1

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
-	+	+	1	0	1	3	-1	-3	-3	-4	-2	3	10	-	3	-9	-7	10	9	-14	-4	0	-12	16

---

Quadratic twists for elliptic curve 14100b1

-4	-3	5
56400cm1	42300j1	2820e1

---

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