Cremona's table of elliptic curves

1848 = 2³ · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11+	Signs for the Atkin-Lehner involutions
Class	1848j	Isogeny class
Conductor	1848	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-193602081835008 = -1 · 211 · 32 · 72 · 118	Discriminant
Eigenvalues	2- 3- -2 7+ 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,13936,-212640]	[a1,a2,a3,a4,a6]
Generators	[115:1710:1]	Generators of the group modulo torsion
j	146142660369886/94532266521	j-invariant
L	3.0571286726125	L(r)(E,1)/r!
Ω	0.32381344874361	Real period
R	4.7205091148532	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	3696g6 14784i6 5544g6 46200g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1848j6

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	+	+	-2	2	4	0	6	-8	-10	-6	-12	-8	-10	12	-2	-4	0	-6	0	-12	10	-14

---

Quadratic twists for elliptic curve 1848j6

-4	8	-3	5	-7	-11
3696g6	14784i6	5544g6	46200g5	12936n6	20328m6

---

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