Cremona's table of elliptic curves

5151 = 3 · 17 · 101

Field	Data	Notes
Atkin-Lehner	3+ 17- 101-	Signs for the Atkin-Lehner involutions
Class	5151a	Isogeny class
Conductor	5151	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-15512231349 = -1 · 312 · 172 · 101	Discriminant
Eigenvalues	1 3+  2  0  0  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,281,5830]	[a1,a2,a3,a4,a6]
Generators	[852:6629:64]	Generators of the group modulo torsion
j	2440200643847/15512231349	j-invariant
L	4.4012913525407	L(r)(E,1)/r!
Ω	0.90091316933463	Real period
R	4.8853668725825	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	82416q2 15453c2 128775d2 87567c2	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 5151a2

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	+	2	0	0	2	-	-4	-2	-4	10	-10	-4	0	-4	6	4	-4	4	-6	16	10	-4	-6	-6

---

Quadratic twists for elliptic curve 5151a2

-4	-3	5	17
82416q2	15453c2	128775d2	87567c2

---

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