Cremona's table of elliptic curves

1798 = 2 · 29 · 31

Field	Data	Notes
Atkin-Lehner	2- 29+ 31-	Signs for the Atkin-Lehner involutions
Class	1798b	Isogeny class
Conductor	1798	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	11625163184 = 24 · 293 · 313	Discriminant
Eigenvalues	2- -2 -3  2  0  2 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1097,-13079]	[a1,a2,a3,a4,a6]
Generators	[-20:41:1]	Generators of the group modulo torsion
j	146005204837393/11625163184	j-invariant
L	2.8184599893415	L(r)(E,1)/r!
Ω	0.83374620427226	Real period
R	0.28170642885681	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14384d2 57536o2 16182h2 44950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1798b2

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	-3	2	0	2	-3	5	-3	+	-	-7	-6	-10	-3	-6	0	5	2	-6	5	-4	-9	-3	2

---

Quadratic twists for elliptic curve 1798b2

-4	8	-3	5	-7	29	-31
14384d2	57536o2	16182h2	44950a2	88102h2	52142a2	55738x2

---

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