Cremona's table of elliptic curves

4515 = 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	3- 5+ 7+ 43+	Signs for the Atkin-Lehner involutions
Class	4515f	Isogeny class
Conductor	4515	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	530843673602025 = 314 · 52 · 74 · 432	Discriminant
Eigenvalues	1 3- 5+ 7+ -4 -2  6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-96134,-11426893]	[a1,a2,a3,a4,a6]
j	98253551457664019929/530843673602025	j-invariant
L	1.8985417448204	L(r)(E,1)/r!
Ω	0.27122024926006	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	72240bt2 13545j2 22575g2 31605h2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4515f2

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

---

Quadratic twists for elliptic curve 4515f2

-4	-3	5	-7
72240bt2	13545j2	22575g2	31605h2

---

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