Cremona's table of elliptic curves

4794 = 2 · 3 · 17 · 47

Field	Data	Notes
Atkin-Lehner	2- 3+ 17+ 47-	Signs for the Atkin-Lehner involutions
Class	4794d	Isogeny class
Conductor	4794	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	900176053248 = 210 · 34 · 173 · 472	Discriminant
Eigenvalues	2- 3+  2  2 -6 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-8792,-317671]	[a1,a2,a3,a4,a6]
Generators	[-51:61:1]	Generators of the group modulo torsion
j	75160530649878913/900176053248	j-invariant
L	5.3242636719684	L(r)(E,1)/r!
Ω	0.49339171899417	Real period
R	1.0791149237005	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	38352o1 14382f1 119850ba1 81498y1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4794d1

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

---

Quadratic twists for elliptic curve 4794d1

-4	-3	5	17
38352o1	14382f1	119850ba1	81498y1

---

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