Cremona's table of elliptic curves

5950 = 2 · 5² · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 17-	Signs for the Atkin-Lehner involutions
Class	5950n	Isogeny class
Conductor	5950	Conductor
∏ cp	80	Product of Tamagawa factors cp
Δ	2046264500000 = 25 · 56 · 72 · 174	Discriminant
Eigenvalues	2- -2 5+ 7+ -4  4 17- -6	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3213,-13583]	[a1,a2,a3,a4,a6]
Generators	[-34:255:1]	Generators of the group modulo torsion
j	234770924809/130960928	j-invariant
L	3.9296433949128	L(r)(E,1)/r!
Ω	0.68063294300315	Real period
R	0.28867566838405	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	47600bb2 53550w2 238e2 41650bu2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5950n2

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

---

Quadratic twists for elliptic curve 5950n2

-4	-3	5	-7	17
47600bb2	53550w2	238e2	41650bu2	101150ck2

---

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