Cremona's table of elliptic curves

8190 = 2 · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 13-	Signs for the Atkin-Lehner involutions
Class	8190x	Isogeny class
Conductor	8190	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	1507425342696000 = 26 · 36 · 53 · 76 · 133	Discriminant
Eigenvalues	2+ 3- 5- 7-  0 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-59724,5313168]	[a1,a2,a3,a4,a6]
Generators	[-273:1239:1]	Generators of the group modulo torsion
j	32318182904349889/2067798824000	j-invariant
L	3.5538809665569	L(r)(E,1)/r!
Ω	0.46883448618695	Real period
R	1.2633744143769	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	65520dq3 910j3 40950dl3 57330s3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8190x3

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

---

Quadratic twists for elliptic curve 8190x3

-4	-3	5	-7	13
65520dq3	910j3	40950dl3	57330s3	106470dw3

---

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