Cremona's table of elliptic curves

3927 = 3 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	3+ 7+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	3927a	Isogeny class
Conductor	3927	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1913414394041073 = -1 · 318 · 74 · 112 · 17	Discriminant
Eigenvalues	-1 3+  0 7+ 11-  6 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-220933,39933764]	[a1,a2,a3,a4,a6]
j	-1192629656009513436625/1913414394041073	j-invariant
L	0.935250522852	L(r)(E,1)/r!
Ω	0.467625261426	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	62832bu2 11781d2 98175bl2 27489v2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3927a2

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

---

Quadratic twists for elliptic curve 3927a2

-4	-3	5	-7	-11	17
62832bu2	11781d2	98175bl2	27489v2	43197j2	66759k2

---

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