Cremona's table of elliptic curves

124992 = 2⁶ · 3² · 7 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 31-	Signs for the Atkin-Lehner involutions
Class	124992gx	Isogeny class
Conductor	124992	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	-5720581195306500096 = -1 · 217 · 39 · 74 · 314	Discriminant
Eigenvalues	2- 3- -2 7- -4  2 -2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-523596,-185763440]	[a1,a2,a3,a4,a6]
Generators	[1077:22351:1]	Generators of the group modulo torsion
j	-166140387034274/59869095867	j-invariant
L	4.5888489065252	L(r)(E,1)/r!
Ω	0.087165721935086	Real period
R	3.290319402043	Regulator
r	1	Rank of the group of rational points
S	0.9999999671612	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	124992bk3 31248w3 41664ej3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 124992gx3

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

---

Quadratic twists for elliptic curve 124992gx3

-4	8	-3
124992bk3	31248w3	41664ej3

---

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