Cremona's table of elliptic curves

1422 = 2 · 3² · 79

Field	Data	Notes
Atkin-Lehner	2+ 3- 79+	Signs for the Atkin-Lehner involutions
Class	1422b	Isogeny class
Conductor	1422	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	60388540416 = 220 · 36 · 79	Discriminant
Eigenvalues	2+ 3- -1  3 -2 -1  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3780,-87728]	[a1,a2,a3,a4,a6]
j	8194759433281/82837504	j-invariant
L	1.2184741589052	L(r)(E,1)/r!
Ω	0.60923707945258	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11376p1 45504k1 158c1 35550bu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1422b1

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	3	-2	-1	2	0	6	10	2	-2	-2	4	-3	-4	-5	12	8	13	-6	+	6	15	13

---

Quadratic twists for elliptic curve 1422b1

-4	8	-3	5	-7	-79
11376p1	45504k1	158c1	35550bu1	69678i1	112338g1

---

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