Cremona's table of elliptic curves

12432 = 2⁴ · 3 · 7 · 37

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 37+	Signs for the Atkin-Lehner involutions
Class	12432bc	Isogeny class
Conductor	12432	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	20458689048870912 = 218 · 316 · 72 · 37	Discriminant
Eigenvalues	2- 3+ -4 7+  4  4  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-186760,30355696]	[a1,a2,a3,a4,a6]
j	175880497476668041/4994797131072	j-invariant
L	1.5301375568546	L(r)(E,1)/r!
Ω	0.38253438921365	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1554f2 49728el2 37296bt2 87024du2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 12432bc2

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

---

Quadratic twists for elliptic curve 12432bc2

-4	8	-3	-7
1554f2	49728el2	37296bt2	87024du2

---

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