Cremona's table of elliptic curves

14245 = 5 · 7 · 11 · 37

Field	Data	Notes
Atkin-Lehner	5- 7+ 11- 37+	Signs for the Atkin-Lehner involutions
Class	14245d	Isogeny class
Conductor	14245	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	7833600	Modular degree for the optimal curve
Δ	-1.701484425667E+25	Discriminant
Eigenvalues	1  2 5- 7+ 11- -4 -4  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-831445797,-9230298440944]	[a1,a2,a3,a4,a6]
Generators	[313405129296676840452:194854724670823842780014:804902010048261]	Generators of the group modulo torsion
j	-63566096045658543279636520622041/17014844256669603424609375	j-invariant
L	8.086259501901	L(r)(E,1)/r!
Ω	0.014057370768276	Real period
R	23.968029640808	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	128205n1 71225h1 99715h1	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 14245d1

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	2	-	+	-	-4	-4	8	-4	10	2	+	4	12	-10	-6	-6	-8	-8	-12	8	-8	-16	2	14

---

Quadratic twists for elliptic curve 14245d1

-3	5	-7
128205n1	71225h1	99715h1

---

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