Cremona's table of elliptic curves

4235 = 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	4235c	Isogeny class
Conductor	4235	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	26400	Modular degree for the optimal curve
Δ	-17691976269034375 = -1 · 55 · 74 · 119	Discriminant
Eigenvalues	-1 -2 5+ 7- 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,64914,-650165]	[a1,a2,a3,a4,a6]
j	12829337821/7503125	j-invariant
L	0.45799677940026	L(r)(E,1)/r!
Ω	0.22899838970013	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	67760y1 38115ba1 21175c1 29645n1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4235c1

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

---

Quadratic twists for elliptic curve 4235c1

-4	-3	5	-7	-11
67760y1	38115ba1	21175c1	29645n1	4235a1

---

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